Atkin-Lehner |
2- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13858i |
Isogeny class |
Conductor |
13858 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
21216 |
Modular degree for the optimal curve |
Δ |
-267559676488 = -1 · 23 · 138 · 41 |
Discriminant |
Eigenvalues |
2- -2 0 -1 6 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1602,3340] |
[a1,a2,a3,a4,a6] |
j |
557375/328 |
j-invariant |
L |
2.3817320220465 |
L(r)(E,1)/r! |
Ω |
0.59543300551162 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
110864g1 124722p1 13858c1 |
Quadratic twists by: -4 -3 13 |