Cremona's table of elliptic curves

1435 = 5 · 7 · 41

Field	Data	Notes
Atkin-Lehner	5- 7+ 41-	Signs for the Atkin-Lehner involutions
Class	1435b	Isogeny class
Conductor	1435	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	112	Modular degree for the optimal curve
Δ	-1435 = -1 · 5 · 7 · 41	Discriminant
Eigenvalues	-2  2 5- 7+ -4  0 -4  5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,0,-2]	[a1,a2,a3,a4,a6]
Generators	[2:1:1]	Generators of the group modulo torsion
j	-4096/1435	j-invariant
L	1.9988085862841	L(r)(E,1)/r!
Ω	2.1470959452225	Real period
R	0.93093584882952	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	22960s1 91840g1 12915g1 7175e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1435b1

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	-	+	-4	0	-4	5	-4	-6	-2	-6	-	-10	12	-1	-10	-8	-1	-10	13	8	-9	15	10

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Quadratic twists for elliptic curve 1435b1

-4	8	-3	5	-7	41
22960s1	91840g1	12915g1	7175e1	10045g1	58835n1

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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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