Atkin-Lehner |
2- 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600cm |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-70956000000 = -1 · 28 · 35 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 2 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1533,-26937] |
[a1,a2,a3,a4,a6] |
j |
-99672064/17739 |
j-invariant |
L |
3.7780822539676 |
L(r)(E,1)/r! |
Ω |
0.37780822356096 |
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 |
21900a1 3504m1 |
Quadratic twists by: -4 5 |