Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550dt |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
3932160 |
Modular degree for the optimal curve |
Δ |
6.3182026388275E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15804905,-24150226903] |
[a1,a2,a3,a4,a6] |
j |
38331145780597164097/55468445663232 |
j-invariant |
L |
3.634800372318 |
L(r)(E,1)/r! |
Ω |
0.07572500778547 |
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 |
17850o1 2142g1 |
Quadratic twists by: -3 5 |