Atkin-Lehner |
2- 3+ 5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
89010bc |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-4375019520 = -1 · 215 · 33 · 5 · 23 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-141758,20578637] |
[a1,a2,a3,a4,a6] |
Generators |
[105:2563:1] |
Generators of the group modulo torsion |
j |
-11668091005995576867/162037760 |
j-invariant |
L |
8.2026026339243 |
L(r)(E,1)/r! |
Ω |
0.97898018369505 |
Real period |
R |
2.5136165487785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980299 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
89010h2 |
Quadratic twists by: -3 |