Atkin-Lehner |
2+ 5+ 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
122960b |
Isogeny class |
Conductor |
122960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
188989520 = 24 · 5 · 292 · 532 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 0 6 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4691,-125240] |
[a1,a2,a3,a4,a6] |
Generators |
[1130:11455:8] |
Generators of the group modulo torsion |
j |
713662053689344/11811845 |
j-invariant |
L |
2.8277166273029 |
L(r)(E,1)/r! |
Ω |
0.57686728871836 |
Real period |
R |
4.9018495745024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998357493 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61480a1 |
Quadratic twists by: -4 |