Atkin-Lehner |
2- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34400bm |
Isogeny class |
Conductor |
34400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
-369800000000 = -1 · 29 · 58 · 432 |
Discriminant |
Eigenvalues |
2- 3 5- -4 1 -4 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20875,-1161250] |
[a1,a2,a3,a4,a6] |
Generators |
[12980715:804451654:3375] |
Generators of the group modulo torsion |
j |
-5030060040/1849 |
j-invariant |
L |
8.832117760984 |
L(r)(E,1)/r! |
Ω |
0.19858816445821 |
Real period |
R |
11.118635625995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34400u1 68800cs1 34400l1 |
Quadratic twists by: -4 8 5 |