Atkin-Lehner |
2- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17914h |
Isogeny class |
Conductor |
17914 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
-4093134032 = -1 · 24 · 136 · 53 |
Discriminant |
Eigenvalues |
2- -1 4 0 4 13+ 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1271,17181] |
[a1,a2,a3,a4,a6] |
j |
-47045881/848 |
j-invariant |
L |
5.5612932961989 |
L(r)(E,1)/r! |
Ω |
1.3903233240497 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106b1 |
Quadratic twists by: 13 |