Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800dg |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-26682793200 = -1 · 24 · 34 · 52 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1388,20943] |
[a1,a2,a3,a4,a6] |
Generators |
[37:147:1] |
Generators of the group modulo torsion |
j |
-6288640/567 |
j-invariant |
L |
8.343649364878 |
L(r)(E,1)/r! |
Ω |
1.161326049373 |
Real period |
R |
0.89807351791285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400cv1 58800cf1 8400h1 |
Quadratic twists by: -4 5 -7 |