Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550by |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
1386000 = 24 · 32 · 53 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28,-19] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:7:1] |
Generators of the group modulo torsion |
j |
19465109/11088 |
j-invariant |
L |
5.5640689642193 |
L(r)(E,1)/r! |
Ω |
2.2439524562604 |
Real period |
R |
0.61989603976413 |
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 |
92400il1 34650bu1 11550bh1 80850hc1 |
Quadratic twists by: -4 -3 5 -7 |