Atkin-Lehner |
2+ 3- 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720x |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
569143501056000 = 211 · 34 · 53 · 134 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5125840,4465083188] |
[a1,a2,a3,a4,a6] |
j |
7272587949665226383522/277902100125 |
j-invariant |
L |
4.5967537764164 |
L(r)(E,1)/r! |
Ω |
0.38306282215696 |
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 |
48360w4 |
Quadratic twists by: -4 |