Atkin-Lehner |
3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775bj |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
17441325 = 37 · 52 · 11 · 29 |
Discriminant |
Eigenvalues |
2 3- 5+ 0 11- 0 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-75,-149] |
[a1,a2,a3,a4,a6] |
Generators |
[82:97:8] |
Generators of the group modulo torsion |
j |
2560000/957 |
j-invariant |
L |
13.653051017714 |
L(r)(E,1)/r! |
Ω |
1.6736874636475 |
Real period |
R |
4.0787337281128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23925e1 71775cc1 |
Quadratic twists by: -3 5 |