Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28600p |
Isogeny class |
Conductor |
28600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22400 |
Modular degree for the optimal curve |
Δ |
-7436000000 = -1 · 28 · 56 · 11 · 132 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 11- 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6033,182437] |
[a1,a2,a3,a4,a6] |
Generators |
[43:-26:1] |
Generators of the group modulo torsion |
j |
-6072054784/1859 |
j-invariant |
L |
4.2720297893662 |
L(r)(E,1)/r! |
Ω |
1.2931418587674 |
Real period |
R |
0.82590122661371 |
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 |
57200b1 1144b1 |
Quadratic twists by: -4 5 |