Atkin-Lehner |
2- 3- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
25398o |
Isogeny class |
Conductor |
25398 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-30941912825856 = -1 · 216 · 39 · 172 · 83 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 -3 -4 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14144,704099] |
[a1,a2,a3,a4,a6] |
Generators |
[39:439:1] [-123:817:1] |
Generators of the group modulo torsion |
j |
-429224141207737/42444324864 |
j-invariant |
L |
9.2830419890184 |
L(r)(E,1)/r! |
Ω |
0.64373406358093 |
Real period |
R |
0.11266106555831 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8466i1 |
Quadratic twists by: -3 |