Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400z |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-1022361600000000 = -1 · 226 · 3 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,23967,563937] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:500:1] [787:22500:1] |
Generators of the group modulo torsion |
j |
371694959/249600 |
j-invariant |
L |
8.8334292652213 |
L(r)(E,1)/r! |
Ω |
0.30987594930144 |
Real period |
R |
7.1265850779574 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999809 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400gy1 1950g1 12480u1 |
Quadratic twists by: -4 8 5 |