Atkin-Lehner |
3- 5+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
52065g |
Isogeny class |
Conductor |
52065 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
56030688221625 = 318 · 53 · 13 · 89 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 -2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24930,-1465425] |
[a1,a2,a3,a4,a6] |
Generators |
[6979152698:-452259658089:1685159] |
Generators of the group modulo torsion |
j |
2350567993819681/76859654625 |
j-invariant |
L |
6.8179204661382 |
L(r)(E,1)/r! |
Ω |
0.38070485584565 |
Real period |
R |
17.90867744759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000099 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17355l1 |
Quadratic twists by: -3 |