Atkin-Lehner |
2+ 5+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
117800g |
Isogeny class |
Conductor |
117800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-403995100000000 = -1 · 28 · 58 · 194 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 0 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10908,-1058188] |
[a1,a2,a3,a4,a6] |
j |
-35887146064/100998775 |
j-invariant |
L |
1.7320016106295 |
L(r)(E,1)/r! |
Ω |
0.21650010749734 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23560e2 |
Quadratic twists by: 5 |