Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
7812j |
Isogeny class |
Conductor |
7812 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
1148579892432 = 24 · 39 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3540,62557] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:378:1] |
Generators of the group modulo torsion |
j |
420616192000/98472213 |
j-invariant |
L |
4.3211030870426 |
L(r)(E,1)/r! |
Ω |
0.8165679567556 |
Real period |
R |
0.88196437526386 |
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 |
31248bh1 124992cz1 2604f1 54684j1 |
Quadratic twists by: -4 8 -3 -7 |