Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27636u |
Isogeny class |
Conductor |
27636 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-1755326483350272 = -1 · 28 · 311 · 77 · 47 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 5 6 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,29139,-621153] |
[a1,a2,a3,a4,a6] |
j |
90845732864/58281363 |
j-invariant |
L |
5.9378053700254 |
L(r)(E,1)/r! |
Ω |
0.2699002440921 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110544cw1 82908bi1 3948a1 |
Quadratic twists by: -4 -3 -7 |