Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040ck |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
301238062110720000 = 214 · 36 · 54 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4585681,3778049519] |
[a1,a2,a3,a4,a6] |
Generators |
[-1846:77175:1] |
Generators of the group modulo torsion |
j |
16129950234928/455625 |
j-invariant |
L |
7.1382018878326 |
L(r)(E,1)/r! |
Ω |
0.28541415596412 |
Real period |
R |
2.0841648702043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040ek2 2940e2 47040bj2 |
Quadratic twists by: -4 8 -7 |