Atkin-Lehner |
2- 17- |
Signs for the Atkin-Lehner involutions |
Class |
136a |
Isogeny class |
Conductor |
136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-295936 = -1 · 210 · 172 |
Discriminant |
Eigenvalues |
2- -2 -2 -2 -6 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16,16] |
[a1,a2,a3,a4,a6] |
Generators |
[0:4:1] |
Generators of the group modulo torsion |
j |
415292/289 |
j-invariant |
L |
0.89989598753536 |
L(r)(E,1)/r! |
Ω |
1.9435527399048 |
Real period |
R |
0.46301598565288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
272c2 1088f2 1224b2 3400c2 |
Quadratic twists by: -4 8 -3 5 |