Atkin-Lehner |
5+ 7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
18655d |
Isogeny class |
Conductor |
18655 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
7569620695 = 5 · 75 · 133 · 41 |
Discriminant |
Eigenvalues |
-1 -3 5+ 7- -4 13+ 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14823,-690888] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:38:1] |
Generators of the group modulo torsion |
j |
360167540469023169/7569620695 |
j-invariant |
L |
1.6468914684588 |
L(r)(E,1)/r! |
Ω |
0.4326815374006 |
Real period |
R |
0.76124878281278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93275g1 |
Quadratic twists by: 5 |