Atkin-Lehner |
2+ 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
7872o |
Isogeny class |
Conductor |
7872 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-274396004352 = -1 · 214 · 35 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -1 -4 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1477,32867] |
[a1,a2,a3,a4,a6] |
Generators |
[14:123:1] |
Generators of the group modulo torsion |
j |
-21764027392/16747803 |
j-invariant |
L |
5.4989988437455 |
L(r)(E,1)/r! |
Ω |
0.89846722044112 |
Real period |
R |
0.4080281557032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7872x1 984c1 23616j1 |
Quadratic twists by: -4 8 -3 |