Atkin-Lehner |
2- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
89540b |
Isogeny class |
Conductor |
89540 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-24945082910000 = -1 · 24 · 54 · 113 · 374 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2728,246477] |
[a1,a2,a3,a4,a6] |
Generators |
[1551:61050:1] |
Generators of the group modulo torsion |
j |
-105428680704/1171350625 |
j-invariant |
L |
4.2349524600707 |
L(r)(E,1)/r! |
Ω |
0.57155559649463 |
Real period |
R |
1.8523799251413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018596 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89540a1 |
Quadratic twists by: -11 |