Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28600h |
Isogeny class |
Conductor |
28600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-2860000000 = -1 · 28 · 57 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 11- 13- -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,2563] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-50:1] |
Generators of the group modulo torsion |
j |
-1024/715 |
j-invariant |
L |
3.7838137082589 |
L(r)(E,1)/r! |
Ω |
1.1570334727353 |
Real period |
R |
0.20439197511469 |
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 |
57200e1 5720f1 |
Quadratic twists by: -4 5 |