Atkin-Lehner |
2- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
80864l |
Isogeny class |
Conductor |
80864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52416 |
Modular degree for the optimal curve |
Δ |
-21076554688 = -1 · 26 · 7 · 196 |
Discriminant |
Eigenvalues |
2- -2 0 7- 4 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,602,-3864] |
[a1,a2,a3,a4,a6] |
j |
8000/7 |
j-invariant |
L |
0.66660856724586 |
L(r)(E,1)/r! |
Ω |
0.6666086252588 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80864i1 224b1 |
Quadratic twists by: -4 -19 |