Atkin-Lehner |
2+ 3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490t |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-26499726000 = -1 · 24 · 32 · 53 · 112 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-55949,5089016] |
[a1,a2,a3,a4,a6] |
Generators |
[135:-38:1] |
Generators of the group modulo torsion |
j |
-160067871234233809/219006000 |
j-invariant |
L |
6.2771084916423 |
L(r)(E,1)/r! |
Ω |
1.0083481745738 |
Real period |
R |
1.5562849825315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010568 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83490cd2 |
Quadratic twists by: -11 |