Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
117216z |
Isogeny class |
Conductor |
117216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-134897799168 = -1 · 212 · 37 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1140,-9632] |
[a1,a2,a3,a4,a6] |
Generators |
[12:76:1] |
Generators of the group modulo torsion |
j |
54872000/45177 |
j-invariant |
L |
6.8367591962833 |
L(r)(E,1)/r! |
Ω |
0.57449118845842 |
Real period |
R |
2.9751366673713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953574 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117216l2 39072f2 |
Quadratic twists by: -4 -3 |