Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
5040d |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-49380710400 = -1 · 211 · 39 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,837,-5238] |
[a1,a2,a3,a4,a6] |
j |
1608714/1225 |
j-invariant |
L |
2.5202208258301 |
L(r)(E,1)/r! |
Ω |
0.63005520645752 |
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 |
2520l2 20160dn2 5040h2 25200h2 |
Quadratic twists by: -4 8 -3 5 |