Atkin-Lehner |
3+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18759d |
Isogeny class |
Conductor |
18759 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
20895256161 = 32 · 137 · 37 |
Discriminant |
Eigenvalues |
1 3+ 2 4 2 13+ -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1524,21195] |
[a1,a2,a3,a4,a6] |
Generators |
[30:45:1] |
Generators of the group modulo torsion |
j |
81182737/4329 |
j-invariant |
L |
6.7315650815604 |
L(r)(E,1)/r! |
Ω |
1.1954020023756 |
Real period |
R |
2.8156072468436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56277g1 1443c1 |
Quadratic twists by: -3 13 |