Atkin-Lehner |
3+ 13+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
27417a |
Isogeny class |
Conductor |
27417 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
411272354961 = 38 · 13 · 194 · 37 |
Discriminant |
Eigenvalues |
1 3+ 2 0 -4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3174,-62865] |
[a1,a2,a3,a4,a6] |
j |
3538003488406633/411272354961 |
j-invariant |
L |
1.2817118008636 |
L(r)(E,1)/r! |
Ω |
0.64085590043176 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82251d3 |
Quadratic twists by: -3 |