Atkin-Lehner |
2+ 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144z |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
155927272292352 = 216 · 312 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-383009,-91360833] |
[a1,a2,a3,a4,a6] |
j |
94813865536654372/2379261357 |
j-invariant |
L |
2.3029214071584 |
L(r)(E,1)/r! |
Ω |
0.19191011659285 |
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 |
78144cf4 9768o3 |
Quadratic twists by: -4 8 |