Atkin-Lehner |
2- 3- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13398bj |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
103395688704 = 28 · 34 · 72 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1784,24384] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:244:1] |
Generators of the group modulo torsion |
j |
627947704331137/103395688704 |
j-invariant |
L |
7.7791881431071 |
L(r)(E,1)/r! |
Ω |
1.0136031584192 |
Real period |
R |
0.47967417515004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
107184bp2 40194t2 93786by2 |
Quadratic twists by: -4 -3 -7 |