Atkin-Lehner |
2- 3- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
14508k |
Isogeny class |
Conductor |
14508 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-10327200624 = -1 · 24 · 36 · 134 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -2 13- -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-633,7841] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:117:1] |
Generators of the group modulo torsion |
j |
-2404846336/885391 |
j-invariant |
L |
4.9203467881983 |
L(r)(E,1)/r! |
Ω |
1.2097338055359 |
Real period |
R |
0.16947071212699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58032bj1 1612d1 |
Quadratic twists by: -4 -3 |