Atkin-Lehner |
2- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109120bo |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
Δ |
544790438720000000 = 212 · 57 · 116 · 312 |
Discriminant |
Eigenvalues |
2- 0 5- -4 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-361652,75805696] |
[a1,a2,a3,a4,a6] |
Generators |
[-635:7029:1] [-228:12100:1] |
Generators of the group modulo torsion |
j |
1277133737601594816/133005478203125 |
j-invariant |
L |
10.184372319561 |
L(r)(E,1)/r! |
Ω |
0.28343810357498 |
Real period |
R |
0.85551325712651 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001833 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109120bl2 54560a1 |
Quadratic twists by: -4 8 |