Atkin-Lehner |
2- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119600cc |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
149500000000 = 28 · 59 · 13 · 23 |
Discriminant |
Eigenvalues |
2- -3 5- -3 0 13+ 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1375,6250] |
[a1,a2,a3,a4,a6] |
Generators |
[50:250:1] |
Generators of the group modulo torsion |
j |
574992/299 |
j-invariant |
L |
3.1305131859979 |
L(r)(E,1)/r! |
Ω |
0.90516232884843 |
Real period |
R |
1.7292550669733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000315632 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29900m1 119600cs1 |
Quadratic twists by: -4 5 |