Atkin-Lehner |
2- 3- 7- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
119574bj |
Isogeny class |
Conductor |
119574 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-12813908562 = -1 · 2 · 39 · 73 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3785,-88837] |
[a1,a2,a3,a4,a6] |
j |
-8224059831625/17577378 |
j-invariant |
L |
3.651637432292 |
L(r)(E,1)/r! |
Ω |
0.30430314047884 |
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 |
39858i1 |
Quadratic twists by: -3 |