Atkin-Lehner |
2+ 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69192h |
Isogeny class |
Conductor |
69192 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
833280 |
Modular degree for the optimal curve |
Δ |
159169936971389184 = 28 · 36 · 318 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 -5 -1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-268119,-49870134] |
[a1,a2,a3,a4,a6] |
j |
13392 |
j-invariant |
L |
1.264776475771 |
L(r)(E,1)/r! |
Ω |
0.21079608142506 |
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 |
7688g1 69192y1 |
Quadratic twists by: -3 -31 |