Atkin-Lehner |
2- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39688h |
Isogeny class |
Conductor |
39688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3049465897984 = -1 · 210 · 116 · 412 |
Discriminant |
Eigenvalues |
2- 2 2 2 11- -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,928,-83620] |
[a1,a2,a3,a4,a6] |
Generators |
[152901774:640503460:3581577] |
Generators of the group modulo torsion |
j |
48668/1681 |
j-invariant |
L |
10.283454889178 |
L(r)(E,1)/r! |
Ω |
0.38527045725373 |
Real period |
R |
13.345761004464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79376g2 328b2 |
Quadratic twists by: -4 -11 |