Atkin-Lehner |
2- 7+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
65968m |
Isogeny class |
Conductor |
65968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
583680 |
Modular degree for the optimal curve |
Δ |
-403914051106635776 = -1 · 231 · 75 · 192 · 31 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ -2 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,33728,30473216] |
[a1,a2,a3,a4,a6] |
j |
1035911502295487/98611828883456 |
j-invariant |
L |
0.91791367218656 |
L(r)(E,1)/r! |
Ω |
0.2294784185028 |
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 |
8246e1 |
Quadratic twists by: -4 |