Atkin-Lehner |
2- 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
79680bp |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
25497600 = 212 · 3 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 6 -2 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-345,-2343] |
[a1,a2,a3,a4,a6] |
j |
1111934656/6225 |
j-invariant |
L |
2.2157273984296 |
L(r)(E,1)/r! |
Ω |
1.1078636913063 |
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 |
79680by1 39840f1 |
Quadratic twists by: -4 8 |