Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
5040v |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
34445250000 = 24 · 39 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1188,12987] |
[a1,a2,a3,a4,a6] |
j |
588791808/109375 |
j-invariant |
L |
1.1054152830734 |
L(r)(E,1)/r! |
Ω |
1.1054152830734 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1260b3 20160de3 5040z1 25200cy3 |
Quadratic twists by: -4 8 -3 5 |