Atkin-Lehner |
2- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
3286d |
Isogeny class |
Conductor |
3286 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
-203732 = -1 · 22 · 312 · 53 |
Discriminant |
Eigenvalues |
2- 1 2 4 -2 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12,-28] |
[a1,a2,a3,a4,a6] |
j |
-192100033/203732 |
j-invariant |
L |
4.9209160610267 |
L(r)(E,1)/r! |
Ω |
1.2302290152567 |
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 |
26288d1 105152j1 29574e1 82150b1 |
Quadratic twists by: -4 8 -3 5 |