Atkin-Lehner |
2- 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65472cm |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-37743409052642304 = -1 · 210 · 320 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64637,11264595] |
[a1,a2,a3,a4,a6] |
j |
-29165810409306112/36858797902971 |
j-invariant |
L |
6.5945738076162 |
L(r)(E,1)/r! |
Ω |
0.32972869066023 |
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 |
65472g1 16368h1 |
Quadratic twists by: -4 8 |