Atkin-Lehner |
2- 3+ 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010be |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44160 |
Modular degree for the optimal curve |
Δ |
-389329740 = -1 · 22 · 39 · 5 · 23 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -3 4 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-623,6211] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:116:1] |
Generators of the group modulo torsion |
j |
-1356572043/19780 |
j-invariant |
L |
10.70413880606 |
L(r)(E,1)/r! |
Ω |
1.694010491968 |
Real period |
R |
1.5797037356207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89010e1 |
Quadratic twists by: -3 |