Atkin-Lehner |
5+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
5365a |
Isogeny class |
Conductor |
5365 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
12155078125 = 58 · 292 · 37 |
Discriminant |
Eigenvalues |
2 -1 5+ 3 5 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-726,-5109] |
[a1,a2,a3,a4,a6] |
j |
42377139564544/12155078125 |
j-invariant |
L |
3.7589506911143 |
L(r)(E,1)/r! |
Ω |
0.93973767277857 |
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 |
85840d1 48285f1 26825a1 |
Quadratic twists by: -4 -3 5 |