Cremona's table of elliptic curves

27104 = 2⁵ · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2- 7- 11-	Signs for the Atkin-Lehner involutions
Class	27104v	Isogeny class
Conductor	27104	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	46080	Modular degree for the optimal curve
Δ	-11619966221248 = -1 · 26 · 7 · 1110	Discriminant
Eigenvalues	2-  2  0 7- 11-  0  6  6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-9478,-388056]	[a1,a2,a3,a4,a6]
j	-830584000/102487	j-invariant
L	4.3248295008614	L(r)(E,1)/r!
Ω	0.24026830560343	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	27104p1 54208db1 2464b1	Quadratic twists by: -4 8 -11

Hecke Eigenvalues for elliptic curve 27104v1

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
-	2	0	-	-	0	6	6	0	6	0	2	-2	4	0	6	-2	-4	8	16	2	-8	-2	-14	6

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Quadratic twists for elliptic curve 27104v1

-4	8	-11
27104p1	54208db1	2464b1

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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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