Atkin-Lehner |
2- 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
91080bn |
Isogeny class |
Conductor |
91080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-1236982071600 = -1 · 24 · 312 · 52 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1038,55037] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-207:1] |
Generators of the group modulo torsion |
j |
-10603964416/106051275 |
j-invariant |
L |
6.3214893038648 |
L(r)(E,1)/r! |
Ω |
0.73581739019125 |
Real period |
R |
1.0738889484721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944715 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30360i1 |
Quadratic twists by: -3 |