Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
41184r |
Isogeny class |
Conductor |
41184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
53501228352 = 26 · 312 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 11- 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18957,1004560] |
[a1,a2,a3,a4,a6] |
Generators |
[81:22:1] [83:54:1] |
Generators of the group modulo torsion |
j |
16148234224576/1146717 |
j-invariant |
L |
7.0162844009135 |
L(r)(E,1)/r! |
Ω |
1.0659052587436 |
Real period |
R |
1.6456163301941 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41184m1 82368dx2 13728j1 |
Quadratic twists by: -4 8 -3 |