Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968h |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
85715207424 = 28 · 33 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13431,598950] |
[a1,a2,a3,a4,a6] |
j |
21882096/7 |
j-invariant |
L |
2.1111468509955 |
L(r)(E,1)/r! |
Ω |
1.0555729627357 |
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 |
60984bt2 121968g2 1008d2 |
Quadratic twists by: -4 -3 -11 |