Atkin-Lehner |
2+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
90160bc |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-13940935904000 = -1 · 28 · 53 · 77 · 232 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 3 -3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9865,-421037] |
[a1,a2,a3,a4,a6] |
Generators |
[3162:5635:27] |
Generators of the group modulo torsion |
j |
-3525581824/462875 |
j-invariant |
L |
7.9375696495101 |
L(r)(E,1)/r! |
Ω |
0.23777918172389 |
Real period |
R |
2.7818420958047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45080o1 12880a1 |
Quadratic twists by: -4 -7 |