Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712bn |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
14 |
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 |
[-751:2601:1] |
Generators of the group modulo torsion |
j |
-5102271397888/4915446963867 |
j-invariant |
L |
4.4812431915959 |
L(r)(E,1)/r! |
Ω |
0.15965952043679 |
Real period |
R |
2.0048212515014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107712fb1 6732c1 35904bl1 |
Quadratic twists by: -4 8 -3 |