Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
18800n |
Isogeny class |
Conductor |
18800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14208 |
Modular degree for the optimal curve |
Δ |
-3322336000 = -1 · 28 · 53 · 473 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 -2 1 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2593,50043] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:235:1] |
Generators of the group modulo torsion |
j |
-60276601856/103823 |
j-invariant |
L |
3.7124675924743 |
L(r)(E,1)/r! |
Ω |
1.4131260523904 |
Real period |
R |
0.43785520598043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9400b1 75200ea1 18800k1 |
Quadratic twists by: -4 8 5 |