Atkin-Lehner |
5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
51425x |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
98879616 |
Modular degree for the optimal curve |
Δ |
1.2554468898213E+28 |
Discriminant |
Eigenvalues |
2 -3 5+ 0 11- 4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-831109675,7482521423781] |
[a1,a2,a3,a4,a6] |
Generators |
[66578:8549959:8] |
Generators of the group modulo torsion |
j |
18955586170312298496/3748321533203125 |
j-invariant |
L |
6.544817857547 |
L(r)(E,1)/r! |
Ω |
0.037921183493791 |
Real period |
R |
9.5883345029813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10285j1 51425l1 |
Quadratic twists by: 5 -11 |