Atkin-Lehner |
2- 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
125060f |
Isogeny class |
Conductor |
125060 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
5516986557003500800 = 28 · 52 · 1312 · 37 |
Discriminant |
Eigenvalues |
2- 1 5- -5 -3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-564685,117730783] |
[a1,a2,a3,a4,a6] |
Generators |
[-5142:117455:8] |
Generators of the group modulo torsion |
j |
16115476701184/4464798325 |
j-invariant |
L |
4.5443027085528 |
L(r)(E,1)/r! |
Ω |
0.22452870718193 |
Real period |
R |
5.0598236013485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000223214 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9620b1 |
Quadratic twists by: 13 |