Cremona's table of elliptic curves

435 = 3 · 5 · 29

Field	Data	Notes
Atkin-Lehner	3+ 5+ 29-	Signs for the Atkin-Lehner involutions
Class	435b	Isogeny class
Conductor	435	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	140	Modular degree for the optimal curve
Δ	-550546875 = -1 · 35 · 57 · 29	Discriminant
Eigenvalues	0 3+ 5+ -2  1  6  4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,79,-1123]	[a1,a2,a3,a4,a6]
j	53838872576/550546875	j-invariant
L	0.80949652765035	L(r)(E,1)/r!
Ω	0.80949652765035	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	6960bh1 27840bz1 1305e1 2175h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 435b1

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
0	+	+	-2	1	6	4	-2	3	-	-4	-3	7	5	6	13	0	0	-10	6	3	0	9	-10	17

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Quadratic twists for elliptic curve 435b1

-4	8	-3	5	-7	-11	13	17	29
6960bh1	27840bz1	1305e1	2175h1	21315u1	52635a1	73515e1	125715z1	12615e1

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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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