Atkin-Lehner |
3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
83391i |
Isogeny class |
Conductor |
83391 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8156339166877209 = 34 · 72 · 112 · 198 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11+ 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-144949,20731226] |
[a1,a2,a3,a4,a6] |
Generators |
[1136:35814:1] |
Generators of the group modulo torsion |
j |
7158927499417/173369889 |
j-invariant |
L |
3.1229412760526 |
L(r)(E,1)/r! |
Ω |
0.41378808502548 |
Real period |
R |
3.7735998163933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999766145 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4389i2 |
Quadratic twists by: -19 |