Atkin-Lehner |
2+ 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
53280u |
Isogeny class |
Conductor |
53280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-14885175014830080 = -1 · 212 · 315 · 5 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 3 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-164712,26390864] |
[a1,a2,a3,a4,a6] |
j |
-165505319755264/4985014995 |
j-invariant |
L |
4.7133528474693 |
L(r)(E,1)/r! |
Ω |
0.39277940412407 |
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 |
53280ca1 106560bj1 17760t1 |
Quadratic twists by: -4 8 -3 |