Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510dd |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-762760997113500000 = -1 · 25 · 37 · 56 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,137362,-37205283] |
[a1,a2,a3,a4,a6] |
Generators |
[317:6015:1] |
Generators of the group modulo torsion |
j |
3342032927351/8893500000 |
j-invariant |
L |
9.1118197669753 |
L(r)(E,1)/r! |
Ω |
0.14622395212354 |
Real period |
R |
1.5578534902552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170k2 6930bf2 |
Quadratic twists by: -3 -7 |