Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400cs |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
21565440000000 = 218 · 34 · 57 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176033,28368063] |
[a1,a2,a3,a4,a6] |
Generators |
[253:300:1] |
Generators of the group modulo torsion |
j |
147281603041/5265 |
j-invariant |
L |
7.0231348377261 |
L(r)(E,1)/r! |
Ω |
0.63606820361811 |
Real period |
R |
0.69009254806647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400ep1 975a1 12480a1 |
Quadratic twists by: -4 8 5 |