Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66792o |
Isogeny class |
Conductor |
66792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
250342828032 = 211 · 3 · 116 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-356264,-81966480] |
[a1,a2,a3,a4,a6] |
Generators |
[5092545852849:47923498439272:6978821031] |
Generators of the group modulo torsion |
j |
1378334691074/69 |
j-invariant |
L |
8.6336094049388 |
L(r)(E,1)/r! |
Ω |
0.19541435767943 |
Real period |
R |
22.090519620737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999798 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
552e4 |
Quadratic twists by: -11 |