Cremona's table of elliptic curves

940 = 2² · 5 · 47

Field	Data	Notes
Atkin-Lehner	2- 5+ 47+	Signs for the Atkin-Lehner involutions
Class	940a	Isogeny class
Conductor	940	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	4620	Modular degree for the optimal curve
Δ	-648477594192640 = -1 · 28 · 5 · 477	Discriminant
Eigenvalues	2- -2 5+  2  0 -5  8 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,21619,-57905]	[a1,a2,a3,a4,a6]
j	4364861448544256/2533115602315	j-invariant
L	0.91081236998409	L(r)(E,1)/r!
Ω	0.30360412332803	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3760j1 15040k1 8460l1 4700e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 940a1

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	+	2	0	-5	8	-4	-1	-8	10	2	6	11	+	8	5	-5	16	9	9	1	6	15	-12

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Quadratic twists for elliptic curve 940a1

-4	8	-3	5	-7	-11	-47
3760j1	15040k1	8460l1	4700e1	46060g1	113740a1	44180h1

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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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