Atkin-Lehner |
2- 3+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
46176t |
Isogeny class |
Conductor |
46176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-478752768 = -1 · 212 · 35 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 3 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8925,-321579] |
[a1,a2,a3,a4,a6] |
Generators |
[39081:1483084:27] |
Generators of the group modulo torsion |
j |
-19197165016576/116883 |
j-invariant |
L |
4.161217196602 |
L(r)(E,1)/r! |
Ω |
0.24559147599178 |
Real period |
R |
8.4718274113431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46176o1 92352y1 |
Quadratic twists by: -4 8 |