Cremona's table of elliptic curves

94 = 2 · 47

Field	Data	Notes
Atkin-Lehner	2- 47+	Signs for the Atkin-Lehner involutions
Class	94a	Isogeny class
Conductor	94	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	4418 = 2 · 472	Discriminant
Eigenvalues	2-  0  0  0  2 -4 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-10,-9]	[a1,a2,a3,a4,a6]
j	100544625/4418	j-invariant
L	1.356734506591	L(r)(E,1)/r!
Ω	2.713469013182	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	752a2 3008a2 846b2 2350b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 94a2

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	0	0	2	-4	-2	-2	4	4	4	2	6	6	+	2	12	2	2	8	-14	-16	-16	-10	-14

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Quadratic twists for elliptic curve 94a2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	-47
752a2	3008a2	846b2	2350b2	4606j2	11374a2	15886a2	27166a2	33934c2	49726c2	79054b2	90334o2	128686a2	4418a2

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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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