Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6050bd |
Isogeny class |
Conductor |
6050 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
24200 = 23 · 52 · 112 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 11- -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8,1] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:3:1] |
Generators of the group modulo torsion |
j |
18865/8 |
j-invariant |
L |
7.5099173863795 |
L(r)(E,1)/r! |
Ω |
3.4204569248063 |
Real period |
R |
0.73186297927186 |
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 |
48400ck1 54450bw1 6050r1 6050i1 |
Quadratic twists by: -4 -3 5 -11 |