Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800dk |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-529200 = -1 · 24 · 33 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 1 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23,48] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] |
Generators of the group modulo torsion |
j |
-71680/27 |
j-invariant |
L |
7.9996749235844 |
L(r)(E,1)/r! |
Ω |
2.7536302403821 |
Real period |
R |
0.96837922127734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400cw1 58800cg1 58800k1 |
Quadratic twists by: -4 5 -7 |