Atkin-Lehner |
2- 3+ 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
47430x |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-716510318690304000 = -1 · 220 · 39 · 53 · 172 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4856762,-4118712839] |
[a1,a2,a3,a4,a6] |
j |
-643684129635425546907/36402495488000 |
j-invariant |
L |
6.1018655345283 |
L(r)(E,1)/r! |
Ω |
0.050848879456553 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47430b1 |
Quadratic twists by: -3 |