Atkin-Lehner |
2+ 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15312f |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
6153098535936 = 210 · 310 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18832,-993820] |
[a1,a2,a3,a4,a6] |
j |
721333585101892/6008885289 |
j-invariant |
L |
4.0774790849784 |
L(r)(E,1)/r! |
Ω |
0.40774790849784 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7656b2 61248by2 45936q2 |
Quadratic twists by: -4 8 -3 |