Atkin-Lehner |
2+ 3+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47658a |
Isogeny class |
Conductor |
47658 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
187200 |
Modular degree for the optimal curve |
Δ |
-894380214195936 = -1 · 25 · 36 · 138 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 -3 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6087,1447893] |
[a1,a2,a3,a4,a6] |
Generators |
[222:9015:8] |
Generators of the group modulo torsion |
j |
-30584281/1096416 |
j-invariant |
L |
3.7299784050647 |
L(r)(E,1)/r! |
Ω |
0.41517967195089 |
Real period |
R |
1.4973350323013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47658u1 |
Quadratic twists by: 13 |