Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736ei |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
7372800 |
Modular degree for the optimal curve |
Δ |
-6.2001479317961E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2675220,11861091664] |
[a1,a2,a3,a4,a6] |
Generators |
[-870:94208:1] [-19:108675:1] |
Generators of the group modulo torsion |
j |
11079872671250375/324440155855872 |
j-invariant |
L |
10.734146883572 |
L(r)(E,1)/r! |
Ω |
0.083339649684319 |
Real period |
R |
5.3666666687698 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736bv1 23184bn1 30912bv1 |
Quadratic twists by: -4 8 -3 |