Cremona's table of elliptic curves

94302 = 2 · 3² · 13² · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 13- 31-	Signs for the Atkin-Lehner involutions
Class	94302co	Isogeny class
Conductor	94302	Conductor
∏ cp	120	Product of Tamagawa factors cp
deg	334080	Modular degree for the optimal curve
Δ	-4580510676768 = -1 · 25 · 37 · 133 · 313	Discriminant
Eigenvalues	2- 3- -4  1 -6 13- -5 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,3478,65225]	[a1,a2,a3,a4,a6]
Generators	[231:-3743:1]	Generators of the group modulo torsion
j	2905841483/2859936	j-invariant
L	5.1563879315589	L(r)(E,1)/r!
Ω	0.50897101731787	Real period
R	0.084425041524935	Regulator
r	1	Rank of the group of rational points
S	1.0000000036679	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	31434l1 94302be1	Quadratic twists by: -3 13

Hecke Eigenvalues for elliptic curve 94302co1

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
-	-	-4	1	-6	-	-5	-6	-2	4	-	2	7	-4	-6	-6	-7	-7	14	12	11	-3	2	12	12

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Quadratic twists for elliptic curve 94302co1

-3	13
31434l1	94302be1

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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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