Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11856q |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
-5118752277909504 = -1 · 212 · 311 · 135 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 3 -5 0 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83624,9951792] |
[a1,a2,a3,a4,a6] |
Generators |
[154:838:1] |
Generators of the group modulo torsion |
j |
-15789259762088617/1249695380349 |
j-invariant |
L |
3.8444030433533 |
L(r)(E,1)/r! |
Ω |
0.42257915532489 |
Real period |
R |
4.548737195044 |
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 |
741c1 47424dp1 35568bv1 |
Quadratic twists by: -4 8 -3 |