Atkin-Lehner |
2- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
30926l |
Isogeny class |
Conductor |
30926 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
234624 |
Modular degree for the optimal curve |
Δ |
-1333432053058616 = -1 · 23 · 7 · 478 |
Discriminant |
Eigenvalues |
2- 1 -3 7- -6 -1 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2163,-1756279] |
[a1,a2,a3,a4,a6] |
j |
47/56 |
j-invariant |
L |
0.22446074029207 |
L(r)(E,1)/r! |
Ω |
0.22446074029475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
30926k1 |
Quadratic twists by: -47 |