Atkin-Lehner |
2- 13+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67184r |
Isogeny class |
Conductor |
67184 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-4077501023247548416 = -1 · 214 · 134 · 176 · 192 |
Discriminant |
Eigenvalues |
2- -2 -2 -2 -6 13+ 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-153544,99823476] |
[a1,a2,a3,a4,a6] |
Generators |
[-404:9802:1] [-284:10982:1] |
Generators of the group modulo torsion |
j |
-97738381604456137/995483648253796 |
j-invariant |
L |
5.2733200491193 |
L(r)(E,1)/r! |
Ω |
0.21058459460201 |
Real period |
R |
2.0867781817617 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8398b2 |
Quadratic twists by: -4 |