Cremona's table of elliptic curves

121104 = 2⁴ · 3² · 29²

Field	Data	Notes
Atkin-Lehner	2+ 3- 29-	Signs for the Atkin-Lehner involutions
Class	121104v	Isogeny class
Conductor	121104	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	10982400	Modular degree for the optimal curve
Δ	62353669889230848 = 211 · 316 · 294	Discriminant
Eigenvalues	2+ 3-  0 -1 -2 -2 -7  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-235913115,1394685356906]	[a1,a2,a3,a4,a6]
Generators	[237774:269846:27]	Generators of the group modulo torsion
j	1375088009512735250/59049	j-invariant
L	6.1296173253336	L(r)(E,1)/r!
Ω	0.18870575012556	Real period
R	8.1206022406038	Regulator
r	1	Rank of the group of rational points
S	0.9999999961165	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	60552x1 40368h1 121104g1	Quadratic twists by: -4 -3 29

Hecke Eigenvalues for elliptic curve 121104v1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	0	-1	-2	-2	-7	8	9	-	5	-2	6	6	11	-6	-6	-10	-10	15	15	7	-14	-1	-11

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Quadratic twists for elliptic curve 121104v1

-4	-3	29
60552x1	40368h1	121104g1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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