Atkin-Lehner |
2- 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192cc |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1612394928009216 = -1 · 212 · 37 · 13 · 614 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18789,-1658230] |
[a1,a2,a3,a4,a6] |
Generators |
[1834:78750:1] |
Generators of the group modulo torsion |
j |
245667233447/539987799 |
j-invariant |
L |
6.3620071962707 |
L(r)(E,1)/r! |
Ω |
0.24635241425566 |
Real period |
R |
6.4562054597992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999818647 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7137g4 38064x3 |
Quadratic twists by: -4 -3 |