Atkin-Lehner |
2- 3- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
25398l |
Isogeny class |
Conductor |
25398 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
45600 |
Modular degree for the optimal curve |
Δ |
-9512668512 = -1 · 25 · 36 · 173 · 83 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 3 -7 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6350,-193219] |
[a1,a2,a3,a4,a6] |
j |
-38837676489625/13048928 |
j-invariant |
L |
1.3370348340957 |
L(r)(E,1)/r! |
Ω |
0.26740696681917 |
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 |
2822a1 |
Quadratic twists by: -3 |