Atkin-Lehner |
2+ 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42160i |
Isogeny class |
Conductor |
42160 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
-1012894000 = -1 · 24 · 53 · 17 · 313 |
Discriminant |
Eigenvalues |
2+ -2 5- 3 -5 -3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14575,-682152] |
[a1,a2,a3,a4,a6] |
Generators |
[156:930:1] |
Generators of the group modulo torsion |
j |
-21402239350061056/63305875 |
j-invariant |
L |
4.0247541230353 |
L(r)(E,1)/r! |
Ω |
0.21725253765833 |
Real period |
R |
2.0584104902971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21080i1 |
Quadratic twists by: -4 |