Atkin-Lehner |
2- 3- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4674h |
Isogeny class |
Conductor |
4674 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
47872 |
Modular degree for the optimal curve |
Δ |
38043706373892 = 22 · 311 · 19 · 414 |
Discriminant |
Eigenvalues |
2- 3- -4 4 0 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-69000,-6975684] |
[a1,a2,a3,a4,a6] |
j |
36330500236041936001/38043706373892 |
j-invariant |
L |
3.2404642828662 |
L(r)(E,1)/r! |
Ω |
0.29458766207875 |
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 |
37392h1 14022g1 116850j1 88806h1 |
Quadratic twists by: -4 -3 5 -19 |