Atkin-Lehner |
2- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
6832i |
Isogeny class |
Conductor |
6832 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
85700608 = 212 · 73 · 61 |
Discriminant |
Eigenvalues |
2- -1 0 7- 5 4 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-448,3776] |
[a1,a2,a3,a4,a6] |
Generators |
[10:14:1] |
Generators of the group modulo torsion |
j |
2433138625/20923 |
j-invariant |
L |
3.6841189342315 |
L(r)(E,1)/r! |
Ω |
1.9259580423029 |
Real period |
R |
0.31881266823327 |
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 |
427c1 27328bc1 61488bm1 47824r1 |
Quadratic twists by: -4 8 -3 -7 |