Atkin-Lehner |
2- 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
7872w |
Isogeny class |
Conductor |
7872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-4030464 = -1 · 215 · 3 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 2 5 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,97] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:8:1] |
Generators of the group modulo torsion |
j |
-8/123 |
j-invariant |
L |
3.8403227990438 |
L(r)(E,1)/r! |
Ω |
1.9765748301745 |
Real period |
R |
0.48572949786888 |
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 |
7872bg1 3936e1 23616bm1 |
Quadratic twists by: -4 8 -3 |