Atkin-Lehner |
2- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20800ef |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
14060800000000 = 214 · 58 · 133 |
Discriminant |
Eigenvalues |
2- 3 5- -2 -2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10000,-340000] |
[a1,a2,a3,a4,a6] |
j |
17280000/2197 |
j-invariant |
L |
4.3327084282465 |
L(r)(E,1)/r! |
Ω |
0.48141204758295 |
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 |
20800cd1 5200i1 20800ct1 |
Quadratic twists by: -4 8 5 |