Atkin-Lehner |
2+ 3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440t |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1079437881600 = 28 · 36 · 52 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6716,-208116] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:42:1] [-50:72:1] |
Generators of the group modulo torsion |
j |
130882165887184/4216554225 |
j-invariant |
L |
13.277226533892 |
L(r)(E,1)/r! |
Ω |
0.52841318194757 |
Real period |
R |
4.1877666275989 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000175 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57720b2 |
Quadratic twists by: -4 |