Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200da |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
66355200 |
Modular degree for the optimal curve |
Δ |
1.1366874779001E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-288017408,-952985714688] |
[a1,a2,a3,a4,a6] |
j |
41285728533151645510969/17760741842188800000 |
j-invariant |
L |
1.3717196704383 |
L(r)(E,1)/r! |
Ω |
0.038103321143299 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650cs1 21840cb1 |
Quadratic twists by: -4 5 |