Atkin-Lehner |
2- 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
89712bf |
Isogeny class |
Conductor |
89712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43520 |
Modular degree for the optimal curve |
Δ |
-39065628672 = -1 · 212 · 37 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,816,-3152] |
[a1,a2,a3,a4,a6] |
Generators |
[41:315:1] |
Generators of the group modulo torsion |
j |
20123648/13083 |
j-invariant |
L |
9.0692189378363 |
L(r)(E,1)/r! |
Ω |
0.65736582666538 |
Real period |
R |
1.7245380293602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5607c1 29904f1 |
Quadratic twists by: -4 -3 |