Atkin-Lehner |
2- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3520be |
Isogeny class |
Conductor |
3520 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-28160000000 = -1 · 215 · 57 · 11 |
Discriminant |
Eigenvalues |
2- -1 5- -3 11+ 2 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13025,576577] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-40:1] |
Generators of the group modulo torsion |
j |
-7458308028872/859375 |
j-invariant |
L |
2.8232841358542 |
L(r)(E,1)/r! |
Ω |
1.1363194230859 |
Real period |
R |
0.088735239609545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3520bg1 1760c1 31680cz1 17600bp1 |
Quadratic twists by: -4 8 -3 5 |