Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
5040m |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3629482214400 = 210 · 310 · 52 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6123,-160022] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:140:1] |
Generators of the group modulo torsion |
j |
34008619684/4862025 |
j-invariant |
L |
3.5497863744107 |
L(r)(E,1)/r! |
Ω |
0.54484857936852 |
Real period |
R |
0.81439745574011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2520e3 20160fg3 1680j3 25200be4 |
Quadratic twists by: -4 8 -3 5 |