Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
5040bc |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
26665583616000000 = 216 · 312 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-83163,4845962] |
[a1,a2,a3,a4,a6] |
Generators |
[-233:3402:1] |
Generators of the group modulo torsion |
j |
21302308926361/8930250000 |
j-invariant |
L |
3.5435573885183 |
L(r)(E,1)/r! |
Ω |
0.33967337144526 |
Real period |
R |
2.6080623964141 |
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 |
630i2 20160en2 1680m2 25200eg2 |
Quadratic twists by: -4 8 -3 5 |