Atkin-Lehner |
2- 3- 7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22386ba |
Isogeny class |
Conductor |
22386 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
555332456952 = 23 · 33 · 76 · 13 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14683,682649] |
[a1,a2,a3,a4,a6] |
Generators |
[140:1103:1] |
Generators of the group modulo torsion |
j |
350082141630936625/555332456952 |
j-invariant |
L |
9.8847260860338 |
L(r)(E,1)/r! |
Ω |
0.92179379912165 |
Real period |
R |
3.5744530918783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
67158v2 |
Quadratic twists by: -3 |