Atkin-Lehner |
2- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6448j |
Isogeny class |
Conductor |
6448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-6868099382902784 = -1 · 239 · 13 · 312 |
Discriminant |
Eigenvalues |
2- -1 3 1 0 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,40176,-2521664] |
[a1,a2,a3,a4,a6] |
Generators |
[930:28954:1] |
Generators of the group modulo torsion |
j |
1750866528803183/1676782075904 |
j-invariant |
L |
4.1627073197994 |
L(r)(E,1)/r! |
Ω |
0.22959924929695 |
Real period |
R |
4.5325794101526 |
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 |
806e1 25792v1 58032bl1 83824ba1 |
Quadratic twists by: -4 8 -3 13 |