Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
22932j |
Isogeny class |
Conductor |
22932 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
4732889616 = 24 · 36 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -3 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6321,-193403] |
[a1,a2,a3,a4,a6] |
j |
997335808/169 |
j-invariant |
L |
3.2126156707431 |
L(r)(E,1)/r! |
Ω |
0.53543594512384 |
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 |
91728dq1 2548c1 22932r1 |
Quadratic twists by: -4 -3 -7 |