Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bd |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
2.2654366094962E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3546875,-1170421875] |
[a1,a2,a3,a4,a6] |
Generators |
[2569:80451:1] |
Generators of the group modulo torsion |
j |
178272935636041/81841914000 |
j-invariant |
L |
4.751012509323 |
L(r)(E,1)/r! |
Ω |
0.11492829927078 |
Real period |
R |
5.1673658075083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949229 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410cu1 11550bl1 |
Quadratic twists by: 5 -11 |