Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616et |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2484645963496316928 = 213 · 314 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-744555,235365914] |
[a1,a2,a3,a4,a6] |
j |
129938649625/7072758 |
j-invariant |
L |
2.0299848050015 |
L(r)(E,1)/r! |
Ω |
0.25374808958232 |
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 |
9702bz2 25872br2 11088bo2 |
Quadratic twists by: -4 -3 -7 |