Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160de |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2204496000000 = 210 · 39 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4752,103896] |
[a1,a2,a3,a4,a6] |
Generators |
[22:100:1] |
Generators of the group modulo torsion |
j |
588791808/109375 |
j-invariant |
L |
5.546283315033 |
L(r)(E,1)/r! |
Ω |
0.78164664268843 |
Real period |
R |
1.1826066946647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160v3 5040v3 20160cs1 100800jr3 |
Quadratic twists by: -4 8 -3 5 |