Atkin-Lehner |
2+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20800bu |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
2509940680000 = 26 · 54 · 137 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 -2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9783,-367837] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:65:1] |
Generators of the group modulo torsion |
j |
2588953638400/62748517 |
j-invariant |
L |
6.2280205445033 |
L(r)(E,1)/r! |
Ω |
0.48075003147525 |
Real period |
R |
0.61689524173515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20800by1 10400ba1 20800j1 |
Quadratic twists by: -4 8 5 |