Atkin-Lehner |
2- 3- 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
123192n |
Isogeny class |
Conductor |
123192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
2554509312 = 211 · 36 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 3 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-795,8278] |
[a1,a2,a3,a4,a6] |
Generators |
[26:72:1] |
Generators of the group modulo torsion |
j |
37219250/1711 |
j-invariant |
L |
6.0886019322434 |
L(r)(E,1)/r! |
Ω |
1.4281824980156 |
Real period |
R |
2.1315909787745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000122551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13688a1 |
Quadratic twists by: -3 |