Atkin-Lehner |
2- 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11856x |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-1065332736 = -1 · 212 · 34 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 3 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-85,-1571] |
[a1,a2,a3,a4,a6] |
j |
-16777216/260091 |
j-invariant |
L |
2.6647412142139 |
L(r)(E,1)/r! |
Ω |
0.66618530355346 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
741e1 47424cv1 35568cf1 |
Quadratic twists by: -4 8 -3 |