Atkin-Lehner |
5+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
66755b |
Isogeny class |
Conductor |
66755 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-5958092359375 = -1 · 56 · 136 · 79 |
Discriminant |
Eigenvalues |
1 2 5+ -2 -4 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6763,-247008] |
[a1,a2,a3,a4,a6] |
Generators |
[3192404064:1871915920:33076161] |
Generators of the group modulo torsion |
j |
-7088952961/1234375 |
j-invariant |
L |
7.280364667692 |
L(r)(E,1)/r! |
Ω |
0.26074722240062 |
Real period |
R |
13.960579521815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001181 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
395b1 |
Quadratic twists by: 13 |