Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400go |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-24024195000000 = -1 · 26 · 37 · 57 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -1 13+ 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19033,-1044187] |
[a1,a2,a3,a4,a6] |
Generators |
[668:16875:1] |
Generators of the group modulo torsion |
j |
-762549907456/24024195 |
j-invariant |
L |
8.8752915842534 |
L(r)(E,1)/r! |
Ω |
0.20285503640488 |
Real period |
R |
3.1251351216259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400p1 15600bk1 12480by1 |
Quadratic twists by: -4 8 5 |