Atkin-Lehner |
2- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
36518d |
Isogeny class |
Conductor |
36518 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-4395093954040838 = -1 · 2 · 195 · 316 |
Discriminant |
Eigenvalues |
2- 1 -4 3 -2 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-67290,7431626] |
[a1,a2,a3,a4,a6] |
Generators |
[10473484:195943803:21952] |
Generators of the group modulo torsion |
j |
-37966934881/4952198 |
j-invariant |
L |
8.009126970706 |
L(r)(E,1)/r! |
Ω |
0.42314334225525 |
Real period |
R |
9.4638461378348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38b2 |
Quadratic twists by: -31 |