Atkin-Lehner |
2- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36518h |
Isogeny class |
Conductor |
36518 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
32409859422758 = 2 · 19 · 318 |
Discriminant |
Eigenvalues |
2- 2 2 0 4 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-194142,32843093] |
[a1,a2,a3,a4,a6] |
j |
911826451873/36518 |
j-invariant |
L |
9.8651834000091 |
L(r)(E,1)/r! |
Ω |
0.61657396250085 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1178d2 |
Quadratic twists by: -31 |