Atkin-Lehner |
5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5915b |
Isogeny class |
Conductor |
5915 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
28080 |
Modular degree for the optimal curve |
Δ |
-874361366571875 = -1 · 55 · 73 · 138 |
Discriminant |
Eigenvalues |
-1 1 5+ 7- -4 13+ -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-62111,-6130684] |
[a1,a2,a3,a4,a6] |
j |
-32485001809/1071875 |
j-invariant |
L |
0.4527477103772 |
L(r)(E,1)/r! |
Ω |
0.15091590345907 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94640bs1 53235bk1 29575b1 41405o1 |
Quadratic twists by: -4 -3 5 -7 |