Atkin-Lehner |
2- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13858h |
Isogeny class |
Conductor |
13858 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-3547648 = -1 · 29 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 0 -4 -3 0 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-487,4255] |
[a1,a2,a3,a4,a6] |
Generators |
[115:-1266:1] [7:30:1] |
Generators of the group modulo torsion |
j |
-75437551449/20992 |
j-invariant |
L |
7.3204013264718 |
L(r)(E,1)/r! |
Ω |
2.4419096516381 |
Real period |
R |
0.33309091702795 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110864f1 124722w1 13858b1 |
Quadratic twists by: -4 -3 13 |