Atkin-Lehner |
5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18755f |
Isogeny class |
Conductor |
18755 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69696 |
Modular degree for the optimal curve |
Δ |
-283248466381375 = -1 · 53 · 119 · 312 |
Discriminant |
Eigenvalues |
1 -2 5- 4 11+ 6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10288,-904719] |
[a1,a2,a3,a4,a6] |
j |
-51064811/120125 |
j-invariant |
L |
2.6558065559967 |
L(r)(E,1)/r! |
Ω |
0.22131721299973 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93775b1 18755g1 |
Quadratic twists by: 5 -11 |