Atkin-Lehner |
2+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200b |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44800 |
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 |
[13581886:212198701:50653] |
Generators of the group modulo torsion |
j |
-6072054784/1859 |
j-invariant |
L |
6.3305223069146 |
L(r)(E,1)/r! |
Ω |
0.27084589193371 |
Real period |
R |
11.686576195874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28600p1 2288c1 |
Quadratic twists by: -4 5 |