Atkin-Lehner |
5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
2635b |
Isogeny class |
Conductor |
2635 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
120 |
Modular degree for the optimal curve |
Δ |
2635 = 5 · 17 · 31 |
Discriminant |
Eigenvalues |
1 -1 5+ 2 -2 7 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3,-2] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:2:1] |
Generators of the group modulo torsion |
j |
4826809/2635 |
j-invariant |
L |
3.2320918914061 |
L(r)(E,1)/r! |
Ω |
3.7211327665636 |
Real period |
R |
0.8685774182658 |
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 |
42160p1 23715i1 13175c1 129115q1 |
Quadratic twists by: -4 -3 5 -7 |