Atkin-Lehner |
2- 3- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13398bj |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-10438143529968 = -1 · 24 · 32 · 7 · 114 · 294 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3256,138288] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:364:1] |
Generators of the group modulo torsion |
j |
3817407868331903/10438143529968 |
j-invariant |
L |
7.7791881431071 |
L(r)(E,1)/r! |
Ω |
0.50680157920959 |
Real period |
R |
0.95934835030008 |
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 |
107184bp3 40194t3 93786by3 |
Quadratic twists by: -4 -3 -7 |