Atkin-Lehner |
2- 3+ 5+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570bd |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8995914767833593750 = 2 · 39 · 58 · 194 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37556003,-88576914419] |
[a1,a2,a3,a4,a6] |
j |
297625750846270003339083/457039819531250 |
j-invariant |
L |
1.9515501853748 |
L(r)(E,1)/r! |
Ω |
0.060985944517771 |
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 |
114570g2 |
Quadratic twists by: -3 |