Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525ca |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10721178734765625 = 32 · 58 · 78 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-328938,-72470133] |
[a1,a2,a3,a4,a6] |
Generators |
[586548:55746801:64] |
Generators of the group modulo torsion |
j |
2141202151369/5832225 |
j-invariant |
L |
4.9916407265763 |
L(r)(E,1)/r! |
Ω |
0.19938484026603 |
Real period |
R |
6.2588017185268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005921 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16905p2 12075d2 |
Quadratic twists by: 5 -7 |