Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800gp |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-184396800000000 = -1 · 216 · 3 · 58 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10208,-761088] |
[a1,a2,a3,a4,a6] |
Generators |
[208:2464:1] |
Generators of the group modulo torsion |
j |
-30625/48 |
j-invariant |
L |
6.0572677129272 |
L(r)(E,1)/r! |
Ω |
0.22510704052711 |
Real period |
R |
2.2423657128332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000302 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350ct1 58800hy1 58800jz1 |
Quadratic twists by: -4 5 -7 |