Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20592o |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
9750598867152 = 24 · 318 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6906,161939] |
[a1,a2,a3,a4,a6] |
j |
3122884507648/835956693 |
j-invariant |
L |
1.3568732967191 |
L(r)(E,1)/r! |
Ω |
0.67843664835956 |
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 |
10296n1 82368dp1 6864d1 |
Quadratic twists by: -4 8 -3 |