Atkin-Lehner |
2+ 3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670s |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
63297514980 = 22 · 32 · 5 · 78 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2574,48556] |
[a1,a2,a3,a4,a6] |
Generators |
[11:141:1] |
Generators of the group modulo torsion |
j |
16022066761/538020 |
j-invariant |
L |
3.6809759596495 |
L(r)(E,1)/r! |
Ω |
1.0985202160302 |
Real period |
R |
0.83771238702921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999732882 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810d1 |
Quadratic twists by: -7 |