Atkin-Lehner |
2- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
4606l |
Isogeny class |
Conductor |
4606 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
408 |
Modular degree for the optimal curve |
Δ |
-18424 = -1 · 23 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 2 3 7- 3 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6,-1] |
[a1,a2,a3,a4,a6] |
j |
482447/376 |
j-invariant |
L |
6.4717076723446 |
L(r)(E,1)/r! |
Ω |
2.1572358907815 |
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 |
36848o1 41454u1 115150j1 4606h1 |
Quadratic twists by: -4 -3 5 -7 |