Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696s |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1106044742460506112 = 218 · 39 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ -4 2 11- -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1163052,480118320] |
[a1,a2,a3,a4,a6] |
j |
19034163/121 |
j-invariant |
L |
1.1074425452655 |
L(r)(E,1)/r! |
Ω |
0.27686063645522 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696ew2 1089d2 69696r2 6336e2 |
Quadratic twists by: -4 8 -3 -11 |