Atkin-Lehner |
2- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12650r |
Isogeny class |
Conductor |
12650 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
308448 |
Modular degree for the optimal curve |
Δ |
56025616625000 = 23 · 56 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 11+ -5 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7264030,7537358597] |
[a1,a2,a3,a4,a6] |
j |
2712917065234165678953/3585639464 |
j-invariant |
L |
1.2009843632653 |
L(r)(E,1)/r! |
Ω |
0.40032812108843 |
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 |
101200bu1 113850ce1 506b1 |
Quadratic twists by: -4 -3 5 |