Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49368bi |
Isogeny class |
Conductor |
49368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-491703850637632512 = -1 · 210 · 32 · 1112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-117168,-37140336] |
[a1,a2,a3,a4,a6] |
Generators |
[87502652688:-913452987916:176558481] |
Generators of the group modulo torsion |
j |
-98061470500/271048833 |
j-invariant |
L |
8.727266368184 |
L(r)(E,1)/r! |
Ω |
0.11968086495344 |
Real period |
R |
18.230287631234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999536 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736o2 4488d2 |
Quadratic twists by: -4 -11 |