Atkin-Lehner |
2+ 3- 101- |
Signs for the Atkin-Lehner involutions |
Class |
58176bb |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
381692736 = 26 · 310 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 -6 -1 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-228,-934] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:9:1] |
Generators of the group modulo torsion |
j |
28094464/8181 |
j-invariant |
L |
3.6997912877169 |
L(r)(E,1)/r! |
Ω |
1.2560101079386 |
Real period |
R |
1.47283499717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58176cj1 909b1 19392b1 |
Quadratic twists by: -4 8 -3 |