Atkin-Lehner |
2+ 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
58608n |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2726899992393984 = 28 · 312 · 114 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55911,-4425050] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:814:1] [413:6552:1] |
Generators of the group modulo torsion |
j |
103573344013648/14611732641 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
29304c2 19536i2 |
Quadratic twists by: -4 -3 |