Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
5040r |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-60491370240000 = -1 · 211 · 39 · 54 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6693,-309206] |
[a1,a2,a3,a4,a6] |
j |
22208984782/40516875 |
j-invariant |
L |
2.6143545212763 |
L(r)(E,1)/r! |
Ω |
0.32679431515953 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2520r4 20160eh4 1680g4 25200bd3 |
Quadratic twists by: -4 8 -3 5 |