Atkin-Lehner |
2+ 3- 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
70350bo |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
346560 |
Modular degree for the optimal curve |
Δ |
864460800000000 = 219 · 32 · 58 · 7 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-52826,4449548] |
[a1,a2,a3,a4,a6] |
j |
41734483245625/2213019648 |
j-invariant |
L |
2.9579317223023 |
L(r)(E,1)/r! |
Ω |
0.49298862157172 |
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 |
70350cc1 |
Quadratic twists by: 5 |