Atkin-Lehner |
2+ 3- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
71760n |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
788283600 = 24 · 3 · 52 · 134 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-631,5744] |
[a1,a2,a3,a4,a6] |
Generators |
[362:2145:8] |
Generators of the group modulo torsion |
j |
1739321595904/49267725 |
j-invariant |
L |
7.8737909168293 |
L(r)(E,1)/r! |
Ω |
1.5868441888241 |
Real period |
R |
2.4809590545056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000157 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35880m1 |
Quadratic twists by: -4 |