Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5202h |
Isogeny class |
Conductor |
5202 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
13956530861938752 = 26 · 312 · 177 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-664610,-208300575] |
[a1,a2,a3,a4,a6] |
Generators |
[2291:100293:1] |
Generators of the group modulo torsion |
j |
1845026709625/793152 |
j-invariant |
L |
5.4292045493538 |
L(r)(E,1)/r! |
Ω |
0.16721263577722 |
Real period |
R |
2.7057387759197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41616bx1 1734b1 306a1 |
Quadratic twists by: -4 -3 17 |