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
deg	2	Modular degree for the optimal curve
Δ	-188 = -1 · 22 · 47	Discriminant
Eigenvalues	2-  0  0  0  2 -4 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,0,-1]	[a1,a2,a3,a4,a6]
j	3375/188	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	752a1 3008a1 846b1 2350b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 94a1

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 94a1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	-47
752a1	3008a1	846b1	2350b1	4606j1	11374a1	15886a1	27166a1	33934c1	49726c1	79054b1	90334o1	128686a1	4418a1

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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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