Atkin-Lehner |
3- 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
9657a |
Isogeny class |
Conductor |
9657 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
22684293 = 36 · 292 · 37 |
Discriminant |
Eigenvalues |
0 3- 4 -1 3 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-408,-3164] |
[a1,a2,a3,a4,a6] |
j |
10303307776/31117 |
j-invariant |
L |
2.1249237821297 |
L(r)(E,1)/r! |
Ω |
1.0624618910648 |
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 |
1073a1 |
Quadratic twists by: -3 |