Atkin-Lehner |
2- 3+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4794c |
Isogeny class |
Conductor |
4794 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-23361765507072 = -1 · 218 · 38 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 -2 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13541,-655189] |
[a1,a2,a3,a4,a6] |
j |
-274585709373920209/23361765507072 |
j-invariant |
L |
3.9639009730556 |
L(r)(E,1)/r! |
Ω |
0.22021672072531 |
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 |
38352s1 14382i1 119850bc1 81498w1 |
Quadratic twists by: -4 -3 5 17 |