Atkin-Lehner |
2+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
80864a |
Isogeny class |
Conductor |
80864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1214784 |
Modular degree for the optimal curve |
Δ |
-1076713331929980416 = -1 · 29 · 73 · 1910 |
Discriminant |
Eigenvalues |
2+ 0 -3 7+ -2 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2476099,-1500515994] |
[a1,a2,a3,a4,a6] |
j |
-534837384/343 |
j-invariant |
L |
0.48139420471814 |
L(r)(E,1)/r! |
Ω |
0.060174273190452 |
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 |
80864e1 80864f1 |
Quadratic twists by: -4 -19 |