Atkin-Lehner |
3+ 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22425i |
Isogeny class |
Conductor |
22425 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-10007506640625 = -1 · 3 · 58 · 135 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 5 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5362,-15844] |
[a1,a2,a3,a4,a6] |
j |
43645456895/25619217 |
j-invariant |
L |
1.2783194226569 |
L(r)(E,1)/r! |
Ω |
0.42610647421899 |
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 |
67275bc1 22425q1 |
Quadratic twists by: -3 5 |