Atkin-Lehner |
2+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
80408b |
Isogeny class |
Conductor |
80408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-5503429161710842352 = -1 · 24 · 192 · 2311 |
Discriminant |
Eigenvalues |
2+ 1 0 2 -2 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2924488,-1929246503] |
[a1,a2,a3,a4,a6] |
j |
-1167848192416000/2323519823 |
j-invariant |
L |
1.8469506224636 |
L(r)(E,1)/r! |
Ω |
0.057717207040745 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3496e1 |
Quadratic twists by: -23 |