Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240cg |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
24723947520 = 215 · 38 · 5 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-397452,-96443984] |
[a1,a2,a3,a4,a6] |
Generators |
[45660:1722032:27] |
Generators of the group modulo torsion |
j |
290670065844488/1035 |
j-invariant |
L |
6.9456297403535 |
L(r)(E,1)/r! |
Ω |
0.19014214246019 |
Real period |
R |
9.1321545698492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999997688 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240cs4 33120g4 22080bc4 |
Quadratic twists by: -4 8 -3 |