Atkin-Lehner |
2+ 3+ 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050a |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
11781120000000 = 216 · 3 · 57 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8125,-231875] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:235:1] |
Generators of the group modulo torsion |
j |
3797146126801/753991680 |
j-invariant |
L |
2.7458146299119 |
L(r)(E,1)/r! |
Ω |
0.5098248480052 |
Real period |
R |
2.6928999693353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999810357 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23010t1 |
Quadratic twists by: 5 |