Atkin-Lehner |
2+ 3+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96558j |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
790272 |
Modular degree for the optimal curve |
Δ |
-124323316242048 = -1 · 27 · 33 · 77 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 11- -3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31682,-2249100] |
[a1,a2,a3,a4,a6] |
j |
-29066820532499761/1027465423488 |
j-invariant |
L |
0.35710315011628 |
L(r)(E,1)/r! |
Ω |
0.17855148777837 |
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 |
96558cn1 |
Quadratic twists by: -11 |