Atkin-Lehner |
2+ 3- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
7878b |
Isogeny class |
Conductor |
7878 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-3369653284608 = -1 · 28 · 33 · 136 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11661,491656] |
[a1,a2,a3,a4,a6] |
Generators |
[-1464:27245:27] |
Generators of the group modulo torsion |
j |
-175338610176327625/3369653284608 |
j-invariant |
L |
3.9775191569509 |
L(r)(E,1)/r! |
Ω |
0.79419359538989 |
Real period |
R |
5.0082488451675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
63024k1 23634m1 102414r1 |
Quadratic twists by: -4 -3 13 |