Atkin-Lehner |
3+ 5- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25935j |
Isogeny class |
Conductor |
25935 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
889440825 = 3 · 52 · 7 · 13 · 194 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -4 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-262,679] |
[a1,a2,a3,a4,a6] |
Generators |
[78:641:1] |
Generators of the group modulo torsion |
j |
2000852317801/889440825 |
j-invariant |
L |
5.1398205863523 |
L(r)(E,1)/r! |
Ω |
1.4174911190487 |
Real period |
R |
3.6259984399772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77805n1 129675x1 |
Quadratic twists by: -3 5 |