Atkin-Lehner |
5- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
4565b |
Isogeny class |
Conductor |
4565 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
528 |
Modular degree for the optimal curve |
Δ |
-50215 = -1 · 5 · 112 · 83 |
Discriminant |
Eigenvalues |
-1 2 5- -4 11+ -2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5,-8] |
[a1,a2,a3,a4,a6] |
Generators |
[100:956:1] |
Generators of the group modulo torsion |
j |
13651919/50215 |
j-invariant |
L |
3.100631813383 |
L(r)(E,1)/r! |
Ω |
1.81148660516 |
Real period |
R |
3.4233008453399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73040s1 41085a1 22825b1 50215a1 |
Quadratic twists by: -4 -3 5 -11 |