Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176bl |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
1072274868372816 = 24 · 39 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -4 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-114264,-14782905] |
[a1,a2,a3,a4,a6] |
Generators |
[-171672015215067636596:206276109687549501335:915012191217103552] |
Generators of the group modulo torsion |
j |
3538944/23 |
j-invariant |
L |
7.5861749367449 |
L(r)(E,1)/r! |
Ω |
0.25977194834833 |
Real period |
R |
29.203210676937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001543 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19044d1 76176bo1 3312j1 |
Quadratic twists by: -4 -3 -23 |