Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020bi |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
-606603018431718000 = -1 · 24 · 314 · 53 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60234573,-179935509103] |
[a1,a2,a3,a4,a6] |
j |
-359442469227794176/9021375 |
j-invariant |
L |
1.3548090871441 |
L(r)(E,1)/r! |
Ω |
0.027096181915137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32340j1 97020dc1 |
Quadratic twists by: -3 -7 |