Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336i |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8107185625344 = 28 · 38 · 136 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6591,153790] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:378:1] [17:216:1] |
Generators of the group modulo torsion |
j |
35152/9 |
j-invariant |
L |
7.0371267438164 |
L(r)(E,1)/r! |
Ω |
0.6906377385718 |
Real period |
R |
5.0946584227856 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12168q2 97344fb2 8112k2 144b2 |
Quadratic twists by: -4 8 -3 13 |