Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600bz |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
5875200000000 = 215 · 33 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -3 4 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4833,57537] |
[a1,a2,a3,a4,a6] |
Generators |
[8:139:1] |
Generators of the group modulo torsion |
j |
975560/459 |
j-invariant |
L |
5.7253824279091 |
L(r)(E,1)/r! |
Ω |
0.67658312336414 |
Real period |
R |
4.2311005320619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600eu1 40800ca1 81600cu1 |
Quadratic twists by: -4 8 5 |