Atkin-Lehner |
2- 3+ 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100464v |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
30911533231767552 = 217 · 33 · 74 · 13 · 234 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-967104,-365644800] |
[a1,a2,a3,a4,a6] |
j |
24422141990793871297/7546761042912 |
j-invariant |
L |
1.2179495993254 |
L(r)(E,1)/r! |
Ω |
0.15224368106112 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558r4 |
Quadratic twists by: -4 |