Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150gy |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-878198218920000 = -1 · 26 · 36 · 54 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,17095,1132697] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:496:1] |
Generators of the group modulo torsion |
j |
1212683025575/1927458368 |
j-invariant |
L |
10.307489041638 |
L(r)(E,1)/r! |
Ω |
0.34028178534083 |
Real period |
R |
2.5242533023585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971766 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
9350i2 84150cp2 |
Quadratic twists by: -3 5 |