Atkin-Lehner |
2- 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11856y |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
482579570441060352 = 236 · 37 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2362664,1398207600] |
[a1,a2,a3,a4,a6] |
j |
356098250438417935657/117817277939712 |
j-invariant |
L |
0.57838298927869 |
L(r)(E,1)/r! |
Ω |
0.28919149463935 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1482d1 47424cx1 35568cg1 |
Quadratic twists by: -4 8 -3 |