Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696gw |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
4 |
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] |
j |
-128667913/4096 |
j-invariant |
L |
2.3929761995576 |
L(r)(E,1)/r! |
Ω |
0.59824404751616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69696dj2 17424cb2 7744bg2 69696gy2 |
Quadratic twists by: -4 8 -3 -11 |