Atkin-Lehner |
2+ 3- 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
73776g |
Isogeny class |
Conductor |
73776 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1405894342656 = -1 · 211 · 3 · 29 · 534 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2776,-8364] |
[a1,a2,a3,a4,a6] |
j |
1154770523566/686471847 |
j-invariant |
L |
1.9956291621008 |
L(r)(E,1)/r! |
Ω |
0.49890729263261 |
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 |
36888c3 |
Quadratic twists by: -4 |