Atkin-Lehner |
2- 3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670cc |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
501760 |
Modular degree for the optimal curve |
Δ |
59816151656100 = 22 · 35 · 52 · 79 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-107066,-13488000] |
[a1,a2,a3,a4,a6] |
j |
3363538000087/1482300 |
j-invariant |
L |
2.6393569350142 |
L(r)(E,1)/r! |
Ω |
0.26393569325755 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89670bs1 |
Quadratic twists by: -7 |