Atkin-Lehner |
2+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
67760j |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
528180282784000000 = 211 · 56 · 7 · 119 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11+ 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-342067,-68607726] |
[a1,a2,a3,a4,a6] |
j |
916628022/109375 |
j-invariant |
L |
2.3874155983315 |
L(r)(E,1)/r! |
Ω |
0.19895130026693 |
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 |
33880h2 67760o2 |
Quadratic twists by: -4 -11 |