Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47320be |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
636480 |
Modular degree for the optimal curve |
Δ |
-4633975345012286000 = -1 · 24 · 53 · 75 · 1310 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 4 13+ 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-437935,-152070400] |
[a1,a2,a3,a4,a6] |
j |
-4211144704/2100875 |
j-invariant |
L |
2.7194406559694 |
L(r)(E,1)/r! |
Ω |
0.090648021860711 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94640v1 47320b1 |
Quadratic twists by: -4 13 |