Atkin-Lehner |
2+ 3- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
7878b |
Isogeny class |
Conductor |
7878 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-8763790287962112 = -1 · 224 · 3 · 132 · 1013 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,46644,2295562] |
[a1,a2,a3,a4,a6] |
Generators |
[99533583065:-2267887165361:294079625] |
Generators of the group modulo torsion |
j |
11223400388784050375/8763790287962112 |
j-invariant |
L |
3.9775191569509 |
L(r)(E,1)/r! |
Ω |
0.2647311984633 |
Real period |
R |
15.024746535503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63024k3 23634m3 102414r3 |
Quadratic twists by: -4 -3 13 |