Atkin-Lehner |
2- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
110864o |
Isogeny class |
Conductor |
110864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-227049472 = -1 · 215 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 2 0 -1 6 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,152,-144] |
[a1,a2,a3,a4,a6] |
Generators |
[18:90:1] |
Generators of the group modulo torsion |
j |
557375/328 |
j-invariant |
L |
10.532014342537 |
L(r)(E,1)/r! |
Ω |
1.037428781236 |
Real period |
R |
2.5380090048408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999885168 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13858c1 110864g1 |
Quadratic twists by: -4 13 |