Atkin-Lehner |
2- 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5328i |
Isogeny class |
Conductor |
5328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-4091904 = -1 · 212 · 33 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 4 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21,90] |
[a1,a2,a3,a4,a6] |
j |
9261/37 |
j-invariant |
L |
3.5218289473684 |
L(r)(E,1)/r! |
Ω |
1.7609144736842 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
333c1 21312bn1 5328j1 |
Quadratic twists by: -4 8 -3 |