Atkin-Lehner |
2+ 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630bg |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-3.2678123672936E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 3 0 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-86854,275203352] |
[a1,a2,a3,a4,a6] |
Generators |
[-587:11429:1] |
Generators of the group modulo torsion |
j |
-30178235080735609/13610213941248000 |
j-invariant |
L |
5.0381216173808 |
L(r)(E,1)/r! |
Ω |
0.16842299186969 |
Real period |
R |
0.74783756680879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890fk1 42630x1 |
Quadratic twists by: -3 -7 |