Atkin-Lehner |
2+ 3+ 5- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050t |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
71040 |
Modular degree for the optimal curve |
Δ |
1555476000 = 25 · 3 · 53 · 133 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 1 13- 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-290,-300] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:-30:1] |
Generators of the group modulo torsion |
j |
21694295069/12443808 |
j-invariant |
L |
3.1139693257509 |
L(r)(E,1)/r! |
Ω |
1.2552110756824 |
Real period |
R |
0.41347219695663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000125597 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115050cc1 |
Quadratic twists by: 5 |