Atkin-Lehner |
3+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27489i |
Isogeny class |
Conductor |
27489 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
324263350257 = 3 · 76 · 11 · 174 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11- 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8919,319332] |
[a1,a2,a3,a4,a6] |
Generators |
[69:161:1] |
Generators of the group modulo torsion |
j |
666940371553/2756193 |
j-invariant |
L |
1.8745879102176 |
L(r)(E,1)/r! |
Ω |
0.96926633613759 |
Real period |
R |
1.9340276664179 |
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 |
82467w4 561d3 |
Quadratic twists by: -3 -7 |