Atkin-Lehner |
3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22425q |
Isogeny class |
Conductor |
22425 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-640480425 = -1 · 3 · 52 · 135 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 5 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,214,-127] |
[a1,a2,a3,a4,a6] |
j |
43645456895/25619217 |
j-invariant |
L |
4.764015210032 |
L(r)(E,1)/r! |
Ω |
0.95280304200641 |
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 |
67275p1 22425i1 |
Quadratic twists by: -3 5 |