Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040ep |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-143413908426915840 = -1 · 216 · 312 · 5 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,98719,13731201] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:2499:1] |
Generators of the group modulo torsion |
j |
13799183324/18600435 |
j-invariant |
L |
3.5318512446004 |
L(r)(E,1)/r! |
Ω |
0.22016464014501 |
Real period |
R |
4.0104660338146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040co3 11760bh4 6720cn4 |
Quadratic twists by: -4 8 -7 |