Atkin-Lehner |
2- 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
83582q |
Isogeny class |
Conductor |
83582 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-46779340924 = -1 · 22 · 236 · 79 |
Discriminant |
Eigenvalues |
2- 2 2 0 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,518,-9149] |
[a1,a2,a3,a4,a6] |
j |
103823/316 |
j-invariant |
L |
10.446291494208 |
L(r)(E,1)/r! |
Ω |
0.58034952439542 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
158e1 |
Quadratic twists by: -23 |