Atkin-Lehner |
3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18759h |
Isogeny class |
Conductor |
18759 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1090752 |
Modular degree for the optimal curve |
Δ |
-1.2979384743345E+21 |
Discriminant |
Eigenvalues |
2 3+ -2 -1 -2 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1611866,-1544581179] |
[a1,a2,a3,a4,a6] |
j |
567758216450048/1591135948323 |
j-invariant |
L |
1.4129487226732 |
L(r)(E,1)/r! |
Ω |
0.078497151259624 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56277o1 18759e1 |
Quadratic twists by: -3 13 |