Atkin-Lehner |
2- 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
91080bm |
Isogeny class |
Conductor |
91080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
9618048000 = 210 · 33 · 53 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2787,-56434] |
[a1,a2,a3,a4,a6] |
Generators |
[67:240:1] |
Generators of the group modulo torsion |
j |
86590629612/347875 |
j-invariant |
L |
7.5611602649275 |
L(r)(E,1)/r! |
Ω |
0.65723436823002 |
Real period |
R |
1.9174185630934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963553 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91080a1 |
Quadratic twists by: -3 |