Atkin-Lehner |
7+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
6601a |
Isogeny class |
Conductor |
6601 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
992 |
Modular degree for the optimal curve |
Δ |
1062761 = 72 · 232 · 41 |
Discriminant |
Eigenvalues |
1 -2 2 7+ 4 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-50,-129] |
[a1,a2,a3,a4,a6] |
j |
13430356633/1062761 |
j-invariant |
L |
1.8087409742021 |
L(r)(E,1)/r! |
Ω |
1.8087409742021 |
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 |
105616y1 59409d1 46207c1 |
Quadratic twists by: -4 -3 -7 |