Atkin-Lehner |
2- 3- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
25296n |
Isogeny class |
Conductor |
25296 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-16260673536 = -1 · 212 · 35 · 17 · 312 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -1 1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2005,-35773] |
[a1,a2,a3,a4,a6] |
j |
-217732612096/3969891 |
j-invariant |
L |
3.5633066620438 |
L(r)(E,1)/r! |
Ω |
0.35633066620436 |
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 |
1581a1 101184t1 75888bb1 |
Quadratic twists by: -4 8 -3 |