Atkin-Lehner |
2- 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
45504bs |
Isogeny class |
Conductor |
45504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
943570944 = 214 · 36 · 79 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 -2 1 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6492,-201328] |
[a1,a2,a3,a4,a6] |
j |
2533446736/79 |
j-invariant |
L |
2.1274811987715 |
L(r)(E,1)/r! |
Ω |
0.53187029970524 |
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 |
45504l1 11376q1 5056s1 |
Quadratic twists by: -4 8 -3 |