Cremona's table of elliptic curves

1035 = 3² · 5 · 23

Field	Data	Notes
Atkin-Lehner	3- 5- 23-	Signs for the Atkin-Lehner involutions
Class	1035f	Isogeny class
Conductor	1035	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	320	Modular degree for the optimal curve
Δ	-33953175 = -1 · 310 · 52 · 23	Discriminant
Eigenvalues	1 3- 5-  4  4 -2 -6  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,81,0]	[a1,a2,a3,a4,a6]
j	80062991/46575	j-invariant
L	2.4961855698738	L(r)(E,1)/r!
Ω	1.2480927849369	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	16560by1 66240ce1 345d1 5175e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1035f1

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	8	-	-6	8	6	6	-8	8	-2	4	-10	8	0	-6	-4	12	-6	-14

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Quadratic twists for elliptic curve 1035f1

-4	8	-3	5	-7	-11	-23
16560by1	66240ce1	345d1	5175e1	50715ba1	125235bv1	23805m1

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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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