Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790u |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
-104733246149280 = -1 · 25 · 315 · 5 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 0 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1091925,439448085] |
[a1,a2,a3,a4,a6] |
j |
-82258857972188401/59836320 |
j-invariant |
L |
0.98918758318105 |
L(r)(E,1)/r! |
Ω |
0.49459378073008 |
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 |
27930dg1 83790cf1 |
Quadratic twists by: -3 -7 |