Atkin-Lehner |
2+ 3- 5- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
89010y |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
136080607150080 = 222 · 38 · 5 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19359,-866867] |
[a1,a2,a3,a4,a6] |
Generators |
[57595:1142962:125] |
Generators of the group modulo torsion |
j |
1100671096747249/186667499520 |
j-invariant |
L |
6.4355718413036 |
L(r)(E,1)/r! |
Ω |
0.40941770713966 |
Real period |
R |
7.8594205007082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993952 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29670r1 |
Quadratic twists by: -3 |