Atkin-Lehner |
2+ 3- 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670q |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-1350346986240 = -1 · 28 · 3 · 5 · 78 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 0 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6739,219566] |
[a1,a2,a3,a4,a6] |
j |
-5869932649/234240 |
j-invariant |
L |
1.6998122178951 |
L(r)(E,1)/r! |
Ω |
0.84990610760136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89670p1 |
Quadratic twists by: -7 |