Atkin-Lehner |
2+ 3+ 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
25398c |
Isogeny class |
Conductor |
25398 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
1.2189292446845E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 -2 -5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1515444,-697752784] |
[a1,a2,a3,a4,a6] |
j |
19554749573958438867/619280213729888 |
j-invariant |
L |
0.8180090336143 |
L(r)(E,1)/r! |
Ω |
0.13633483893575 |
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 |
25398g1 |
Quadratic twists by: -3 |