Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176bb |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1413120 |
Modular degree for the optimal curve |
Δ |
-4735165818734355456 = -1 · 210 · 310 · 238 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 0 -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36501,-104660534] |
[a1,a2,a3,a4,a6] |
Generators |
[507:6646:1] |
Generators of the group modulo torsion |
j |
92/81 |
j-invariant |
L |
2.754762610624 |
L(r)(E,1)/r! |
Ω |
0.11375442644586 |
Real period |
R |
6.0541877277809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001259 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38088bc1 25392r1 76176ba1 |
Quadratic twists by: -4 -3 -23 |