Atkin-Lehner |
7- 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
84133c |
Isogeny class |
Conductor |
84133 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
58378963237 = 76 · 173 · 101 |
Discriminant |
Eigenvalues |
0 -1 0 7- 3 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-351003,80158455] |
[a1,a2,a3,a4,a6] |
Generators |
[349:212:1] |
Generators of the group modulo torsion |
j |
40650809135104000/496213 |
j-invariant |
L |
3.8773109497038 |
L(r)(E,1)/r! |
Ω |
0.78445435856291 |
Real period |
R |
1.6475617348083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1717a2 |
Quadratic twists by: -7 |