Atkin-Lehner |
2+ 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
5590c |
Isogeny class |
Conductor |
5590 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
-447200000 = -1 · 28 · 55 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 -2 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-652,6224] |
[a1,a2,a3,a4,a6] |
Generators |
[8:36:1] |
Generators of the group modulo torsion |
j |
-30726058889161/447200000 |
j-invariant |
L |
2.1664248547811 |
L(r)(E,1)/r! |
Ω |
1.674579205276 |
Real period |
R |
0.1293712980524 |
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 |
44720o1 50310bx1 27950l1 72670q1 |
Quadratic twists by: -4 -3 5 13 |