Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400q |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-129584332800 = -1 · 218 · 32 · 52 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 1 13+ -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2913,-61983] |
[a1,a2,a3,a4,a6] |
Generators |
[63:24:1] |
Generators of the group modulo torsion |
j |
-417267265/19773 |
j-invariant |
L |
4.2796124935555 |
L(r)(E,1)/r! |
Ω |
0.32402064002634 |
Real period |
R |
3.3019597869335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989294 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400gp1 975h1 62400dr1 |
Quadratic twists by: -4 8 5 |