Atkin-Lehner |
2+ 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
63426r |
Isogeny class |
Conductor |
63426 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-24355584 = -1 · 28 · 32 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 3 0 11- -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-67,-322] |
[a1,a2,a3,a4,a6] |
j |
-33874537/25344 |
j-invariant |
L |
3.2380240453876 |
L(r)(E,1)/r! |
Ω |
0.80950601242169 |
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 |
63426b1 |
Quadratic twists by: -31 |