Atkin-Lehner |
2- 3- 5- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
114570bx |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2153038880722500 = 22 · 312 · 54 · 192 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-77792,-8027809] |
[a1,a2,a3,a4,a6] |
Generators |
[3518:50487:8] |
Generators of the group modulo torsion |
j |
71416039413277369/2953414102500 |
j-invariant |
L |
10.776939634167 |
L(r)(E,1)/r! |
Ω |
0.28659806051614 |
Real period |
R |
4.7003718299927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030363 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38190k2 |
Quadratic twists by: -3 |