Atkin-Lehner |
17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
1139a |
Isogeny class |
Conductor |
1139 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
84 |
Modular degree for the optimal curve |
Δ |
-1139 = -1 · 17 · 67 |
Discriminant |
Eigenvalues |
0 1 2 -4 3 0 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-107,-464] |
[a1,a2,a3,a4,a6] |
Generators |
[26:122:1] |
Generators of the group modulo torsion |
j |
-136750071808/1139 |
j-invariant |
L |
2.5775442219336 |
L(r)(E,1)/r! |
Ω |
0.74162726501926 |
Real period |
R |
3.4755251640683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18224i1 72896e1 10251f1 28475b1 |
Quadratic twists by: -4 8 -3 5 |