Atkin-Lehner |
2+ 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
58608n |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-71417318824368 = -1 · 24 · 39 · 112 · 374 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5694,-371441] |
[a1,a2,a3,a4,a6] |
Generators |
[191:2772:1] [1379:51282:1] |
Generators of the group modulo torsion |
j |
1750364874752/6122883987 |
j-invariant |
L |
8.9618516733534 |
L(r)(E,1)/r! |
Ω |
0.313387908087 |
Real period |
R |
7.1491683645817 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29304c1 19536i1 |
Quadratic twists by: -4 -3 |