Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344ck |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1277952 |
Modular degree for the optimal curve |
Δ |
-3156743510053945344 = -1 · 216 · 310 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 3 0 0 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,290004,-60777808] |
[a1,a2,a3,a4,a6] |
j |
69212/81 |
j-invariant |
L |
3.2561464508817 |
L(r)(E,1)/r! |
Ω |
0.1356727636598 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344fp1 12168r1 32448j1 97344cp1 |
Quadratic twists by: -4 8 -3 13 |