Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47320v |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-53996253451212800 = -1 · 211 · 52 · 75 · 137 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-142016,-23390420] |
[a1,a2,a3,a4,a6] |
Generators |
[633:11830:1] |
Generators of the group modulo torsion |
j |
-32044133522/5462275 |
j-invariant |
L |
4.4500331218036 |
L(r)(E,1)/r! |
Ω |
0.12183079574062 |
Real period |
R |
1.8263170222026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94640c1 3640e1 |
Quadratic twists by: -4 13 |