Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
67280a |
Isogeny class |
Conductor |
67280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
4312469077250000 = 24 · 56 · 297 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 0 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43171,1406370] |
[a1,a2,a3,a4,a6] |
Generators |
[-8813554155990702:32590121819135426:40860428336307] |
Generators of the group modulo torsion |
j |
934979584/453125 |
j-invariant |
L |
10.370626924743 |
L(r)(E,1)/r! |
Ω |
0.38889434184556 |
Real period |
R |
26.6669524579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33640e1 2320b1 |
Quadratic twists by: -4 29 |