Atkin-Lehner |
2- 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
91080cf |
Isogeny class |
Conductor |
91080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-15271383600 = -1 · 24 · 38 · 52 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,618,-619] |
[a1,a2,a3,a4,a6] |
Generators |
[2:25:1] [10:81:1] |
Generators of the group modulo torsion |
j |
2237904896/1309275 |
j-invariant |
L |
11.449236174994 |
L(r)(E,1)/r! |
Ω |
0.73292876492823 |
Real period |
R |
1.9526515949813 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000206 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30360a1 |
Quadratic twists by: -3 |