Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
79968cv |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
5.3936115847772E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1666702,748485800] |
[a1,a2,a3,a4,a6] |
Generators |
[-775:39690:1] |
Generators of the group modulo torsion |
j |
68003243639904448/7163272192041 |
j-invariant |
L |
9.043214744039 |
L(r)(E,1)/r! |
Ω |
0.19320050903401 |
Real period |
R |
3.9006171998134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001581 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
79968bv1 11424n1 |
Quadratic twists by: -4 -7 |