Atkin-Lehner |
2- 3+ 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
116820a |
Isogeny class |
Conductor |
116820 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1967616 |
Modular degree for the optimal curve |
Δ |
-144834516613036800 = -1 · 28 · 39 · 52 · 117 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -5 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-453168,-118837692] |
[a1,a2,a3,a4,a6] |
j |
-2042538067427328/28743577225 |
j-invariant |
L |
1.1031197914727 |
L(r)(E,1)/r! |
Ω |
0.091926616947446 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116820d1 |
Quadratic twists by: -3 |