Atkin-Lehner |
2- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
53176g |
Isogeny class |
Conductor |
53176 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-1357984652554352 = -1 · 24 · 178 · 233 |
Discriminant |
Eigenvalues |
2- -1 2 -4 0 -1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-353832,81148417] |
[a1,a2,a3,a4,a6] |
Generators |
[108:6647:1] |
Generators of the group modulo torsion |
j |
-12685358647552/3516263 |
j-invariant |
L |
3.8855475539975 |
L(r)(E,1)/r! |
Ω |
0.47038617897063 |
Real period |
R |
0.68836127415387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106352a1 3128b1 |
Quadratic twists by: -4 17 |