Atkin-Lehner |
2- 3+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
13992a |
Isogeny class |
Conductor |
13992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-3243653424 = -1 · 24 · 38 · 11 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11+ -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1427,-20460] |
[a1,a2,a3,a4,a6] |
Generators |
[1369:50615:1] |
Generators of the group modulo torsion |
j |
-20099254724608/202728339 |
j-invariant |
L |
3.8081026459739 |
L(r)(E,1)/r! |
Ω |
0.38812984787174 |
Real period |
R |
4.9057070293036 |
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 |
27984c1 111936f1 41976f1 |
Quadratic twists by: -4 8 -3 |