Cremona's table of elliptic curves

1935 = 3² · 5 · 43

Field	Data	Notes
Atkin-Lehner	3+ 5+ 43+	Signs for the Atkin-Lehner involutions
Class	1935a	Isogeny class
Conductor	1935	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	3900234375 = 33 · 57 · 432	Discriminant
Eigenvalues	-1 3+ 5+  4 -4  2 -6 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1250003,-537603588]	[a1,a2,a3,a4,a6]
Generators	[-156023609763:77869823263:241804367]	Generators of the group modulo torsion
j	8000051600110940079507/144453125	j-invariant
L	1.9864762125349	L(r)(E,1)/r!
Ω	0.14278145983761	Real period
R	13.912704175977	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	30960w2 123840bc2 1935c2 9675c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1935a2

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	+	+	4	-4	2	-6	-6	6	2	-4	8	-8	+	6	-6	0	-10	12	-16	16	-4	-6	-2	-18

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Quadratic twists for elliptic curve 1935a2

-4	8	-3	5	-7	-43
30960w2	123840bc2	1935c2	9675c2	94815g2	83205h2

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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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