Cremona's table of elliptic curves

2035 = 5 · 11 · 37

Field	Data	Notes
Atkin-Lehner	5+ 11+ 37-	Signs for the Atkin-Lehner involutions
Class	2035a	Isogeny class
Conductor	2035	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-147060546875 = -1 · 510 · 11 · 372	Discriminant
Eigenvalues	1  0 5+ -2 11+  6 -2  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-2350,-46989]	[a1,a2,a3,a4,a6]
j	-1435592723091129/147060546875	j-invariant
L	1.3634604747684	L(r)(E,1)/r!
Ω	0.34086511869209	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	32560l2 18315u2 10175c2 99715j2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2035a2

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

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Quadratic twists for elliptic curve 2035a2

-4	-3	5	-7	-11	37
32560l2	18315u2	10175c2	99715j2	22385f2	75295i2

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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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