Atkin-Lehner |
2- 5- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52360k |
Isogeny class |
Conductor |
52360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-4984672000 = -1 · 28 · 53 · 72 · 11 · 172 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,300,2848] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-70:1] |
Generators of the group modulo torsion |
j |
11625163184/19471375 |
j-invariant |
L |
3.7627196540357 |
L(r)(E,1)/r! |
Ω |
0.93408972449513 |
Real period |
R |
0.33568506638372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998133 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104720l1 |
Quadratic twists by: -4 |