Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712fb |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
4128768 |
Modular degree for the optimal curve |
Δ |
-5.8709783947822E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 5 11- -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81984,-368759968] |
[a1,a2,a3,a4,a6] |
Generators |
[26761:4377483:1] |
Generators of the group modulo torsion |
j |
-5102271397888/4915446963867 |
j-invariant |
L |
9.9569736263059 |
L(r)(E,1)/r! |
Ω |
0.089214747616353 |
Real period |
R |
2.6573050684028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999983512 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107712bn1 26928bl1 35904br1 |
Quadratic twists by: -4 8 -3 |