Atkin-Lehner |
2- 3+ 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
47430y |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
200448 |
Modular degree for the optimal curve |
Δ |
-12740564783250 = -1 · 2 · 39 · 53 · 174 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 5 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5942,247591] |
[a1,a2,a3,a4,a6] |
j |
-1178587523547/647287750 |
j-invariant |
L |
7.9185630806904 |
L(r)(E,1)/r! |
Ω |
0.65988025674104 |
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 |
47430c1 |
Quadratic twists by: -3 |