Atkin-Lehner |
3- 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
9657b |
Isogeny class |
Conductor |
9657 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-657844497 = -1 · 36 · 293 · 37 |
Discriminant |
Eigenvalues |
-1 3- 2 2 -1 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-119,1360] |
[a1,a2,a3,a4,a6] |
j |
-253636137/902393 |
j-invariant |
L |
1.4154834210843 |
L(r)(E,1)/r! |
Ω |
1.4154834210843 |
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 |
1073b1 |
Quadratic twists by: -3 |