Atkin-Lehner |
2- 3+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
117312cj |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
58880 |
Modular degree for the optimal curve |
Δ |
123529536 = 26 · 35 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -1 5 3 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-611,5997] |
[a1,a2,a3,a4,a6] |
j |
394800749056/1930149 |
j-invariant |
L |
3.7372558827609 |
L(r)(E,1)/r! |
Ω |
1.8686283638921 |
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 |
117312cw1 58656k1 |
Quadratic twists by: -4 8 |