Cremona's table of elliptic curves

11890 = 2 · 5 · 29 · 41

Field	Data	Notes
Atkin-Lehner	2+ 5+ 29+ 41-	Signs for the Atkin-Lehner involutions
Class	11890a	Isogeny class
Conductor	11890	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	3456	Modular degree for the optimal curve
Δ	-99935450 = -1 · 2 · 52 · 29 · 413	Discriminant
Eigenvalues	2+  1 5+ -1  3 -1 -6  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-194,1126]	[a1,a2,a3,a4,a6]
j	-801506204569/99935450	j-invariant
L	1.2240992672241	L(r)(E,1)/r!
Ω	1.8361489008362	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	95120h1 107010x1 59450l1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 11890a1

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
+	1	+	-1	3	-1	-6	5	6	+	-1	-1	-	8	0	6	-9	-1	-4	0	2	-10	12	-6	-13

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Quadratic twists for elliptic curve 11890a1

-4	-3	5
95120h1	107010x1	59450l1

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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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