Atkin-Lehner |
2- 3+ 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
91080bh |
Isogeny class |
Conductor |
91080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
1402508598440400 = 24 · 39 · 52 · 114 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104058,-12793707] |
[a1,a2,a3,a4,a6] |
Generators |
[-182:341:1] |
Generators of the group modulo torsion |
j |
395675227219968/4453426175 |
j-invariant |
L |
5.7785557308253 |
L(r)(E,1)/r! |
Ω |
0.26599659910992 |
Real period |
R |
2.7155214386473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999842577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91080f1 |
Quadratic twists by: -3 |