Atkin-Lehner |
2+ 3+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
112530q |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17888640 |
Modular degree for the optimal curve |
Δ |
4613320301669038080 = 211 · 37 · 5 · 118 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11- 5 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-242971027,1457638013869] |
[a1,a2,a3,a4,a6] |
j |
7400238246193775489881/21521479680 |
j-invariant |
L |
0.96998903743891 |
L(r)(E,1)/r! |
Ω |
0.16166502119851 |
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 |
112530ce1 |
Quadratic twists by: -11 |