Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18928i |
Isogeny class |
Conductor |
18928 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-5089966336 = -1 · 28 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 0 1 7+ -2 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2327,-43342] |
[a1,a2,a3,a4,a6] |
j |
-32209663824/117649 |
j-invariant |
L |
0.68723536471546 |
L(r)(E,1)/r! |
Ω |
0.34361768235773 |
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 |
4732d1 75712bq1 18928u1 |
Quadratic twists by: -4 8 13 |