Atkin-Lehner |
2- 3- 5- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
39390r |
Isogeny class |
Conductor |
39390 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
Δ |
-4098939195390 = -1 · 2 · 3 · 5 · 13 · 1015 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -3 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9697400,-11624151810] |
[a1,a2,a3,a4,a6] |
j |
-100853191129289593849545601/4098939195390 |
j-invariant |
L |
5.3470684575429 |
L(r)(E,1)/r! |
Ω |
0.042776547660433 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118170h2 |
Quadratic twists by: -3 |