Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696dj |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-94713692553216 = -1 · 230 · 36 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 11- 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29964,-2050576] |
[a1,a2,a3,a4,a6] |
Generators |
[1598:63488:1] |
Generators of the group modulo torsion |
j |
-128667913/4096 |
j-invariant |
L |
4.7498573685815 |
L(r)(E,1)/r! |
Ω |
0.18109494243394 |
Real period |
R |
3.2785684853012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993485 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69696gw2 2178f2 7744k2 69696dh2 |
Quadratic twists by: -4 8 -3 -11 |