Atkin-Lehner |
2+ 5+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
78320h |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
68921600 = 28 · 52 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 11+ -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-756,-7744] |
[a1,a2,a3,a4,a6] |
j |
186906097744/269225 |
j-invariant |
L |
1.8209113512 |
L(r)(E,1)/r! |
Ω |
0.91045568676208 |
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 |
39160o1 |
Quadratic twists by: -4 |