Atkin-Lehner |
2+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
22720l |
Isogeny class |
Conductor |
22720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
293200691200 = 215 · 52 · 713 |
Discriminant |
Eigenvalues |
2+ 1 5- 5 2 3 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5665,-163937] |
[a1,a2,a3,a4,a6] |
j |
613691601992/8947775 |
j-invariant |
L |
4.4062248748637 |
L(r)(E,1)/r! |
Ω |
0.55077810935797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22720w1 11360h1 113600i1 |
Quadratic twists by: -4 8 5 |