Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800g |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-2881200 = -1 · 24 · 3 · 52 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 -1 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-163,862] |
[a1,a2,a3,a4,a6] |
Generators |
[6:8:1] |
Generators of the group modulo torsion |
j |
-501760/3 |
j-invariant |
L |
4.6342704053194 |
L(r)(E,1)/r! |
Ω |
2.5563636521713 |
Real period |
R |
1.8128369182804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000244 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400be1 58800dz1 58800dd1 |
Quadratic twists by: -4 5 -7 |