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	1935d	Isogeny class
Conductor	1935	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	21159225 = 39 · 52 · 43	Discriminant
Eigenvalues	1 3+ 5- -4  0  2  2  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-69,8]	[a1,a2,a3,a4,a6]
j	1860867/1075	j-invariant
L	1.8084648245341	L(r)(E,1)/r!
Ω	1.8084648245341	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	30960bb1 123840o1 1935b1 9675e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1935d1

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	0	2	2	6	-6	6	4	4	0	+	10	2	4	6	-12	0	-4	4	6	10	6

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Quadratic twists for elliptic curve 1935d1

-4	8	-3	5	-7	-43
30960bb1	123840o1	1935b1	9675e1	94815b1	83205c1

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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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