Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720cj |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4988715776000000 = 214 · 56 · 117 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48561,-2343761] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:847:1] |
Generators of the group modulo torsion |
j |
436334416/171875 |
j-invariant |
L |
1.9570959372038 |
L(r)(E,1)/r! |
Ω |
0.33265173289983 |
Real period |
R |
2.941659013982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38720q2 9680bc2 3520u2 |
Quadratic twists by: -4 8 -11 |