Atkin-Lehner |
2- 3- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
25398n |
Isogeny class |
Conductor |
25398 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1693440 |
Modular degree for the optimal curve |
Δ |
216446959595880576 = 27 · 315 · 175 · 83 |
Discriminant |
Eigenvalues |
2- 3- 3 4 0 5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38692391,-92627746081] |
[a1,a2,a3,a4,a6] |
j |
8787652539464067883964713/296909409596544 |
j-invariant |
L |
7.6271749740638 |
L(r)(E,1)/r! |
Ω |
0.060533134714792 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8466j1 |
Quadratic twists by: -3 |