Atkin-Lehner |
2+ 3- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
27234h |
Isogeny class |
Conductor |
27234 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-78130075082418 = -1 · 2 · 310 · 174 · 892 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 4 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43308,-3484134] |
[a1,a2,a3,a4,a6] |
Generators |
[585:12789:1] |
Generators of the group modulo torsion |
j |
-12322709457584833/107174314242 |
j-invariant |
L |
2.95866983337 |
L(r)(E,1)/r! |
Ω |
0.16538711177656 |
Real period |
R |
2.2361701900382 |
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 |
9078i2 |
Quadratic twists by: -3 |