Atkin-Lehner |
2+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
80408a |
Isogeny class |
Conductor |
80408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
173184 |
Modular degree for the optimal curve |
Δ |
1035066935888 = 24 · 19 · 237 |
Discriminant |
Eigenvalues |
2+ 0 2 0 4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-77234,8261393] |
[a1,a2,a3,a4,a6] |
j |
21511084032/437 |
j-invariant |
L |
3.6328327671597 |
L(r)(E,1)/r! |
Ω |
0.80729616372225 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3496d1 |
Quadratic twists by: -23 |