Atkin-Lehner |
5+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
25075f |
Isogeny class |
Conductor |
25075 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-54553796875 = -1 · 56 · 17 · 593 |
Discriminant |
Eigenvalues |
-2 0 5+ 2 -3 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1025,16906] |
[a1,a2,a3,a4,a6] |
Generators |
[85:737:1] [19:65:1] |
Generators of the group modulo torsion |
j |
-7622111232/3491443 |
j-invariant |
L |
4.2345857375211 |
L(r)(E,1)/r! |
Ω |
1.0457031765357 |
Real period |
R |
0.67491837590535 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1003d1 |
Quadratic twists by: 5 |