Atkin-Lehner |
2- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
80864f |
Isogeny class |
Conductor |
80864 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
63936 |
Modular degree for the optimal curve |
Δ |
-22886452736 = -1 · 29 · 73 · 194 |
Discriminant |
Eigenvalues |
2- 0 -3 7+ -2 -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6859,218766] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:114:1] [38:114:1] |
Generators of the group modulo torsion |
j |
-534837384/343 |
j-invariant |
L |
8.136843444443 |
L(r)(E,1)/r! |
Ω |
1.1905948530886 |
Real period |
R |
1.1390445461314 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80864j1 80864a1 |
Quadratic twists by: -4 -19 |