Atkin-Lehner |
2+ 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648f |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
27446083615853568 = 210 · 314 · 194 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-95979,8213002] |
[a1,a2,a3,a4,a6] |
Generators |
[566:11628:1] |
Generators of the group modulo torsion |
j |
130986002814628/36766551483 |
j-invariant |
L |
8.800668554402 |
L(r)(E,1)/r! |
Ω |
0.3490421992048 |
Real period |
R |
3.1517208297473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964153 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58824h3 39216g3 |
Quadratic twists by: -4 -3 |