Atkin-Lehner |
2+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200y |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-1203200 = -1 · 210 · 52 · 47 |
Discriminant |
Eigenvalues |
2+ 3 5+ -1 -6 -2 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20,-40] |
[a1,a2,a3,a4,a6] |
j |
34560/47 |
j-invariant |
L |
1.4559969221813 |
L(r)(E,1)/r! |
Ω |
1.4559969623838 |
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 |
75200cn1 9400l1 75200bo1 |
Quadratic twists by: -4 8 5 |