Atkin-Lehner |
2+ 3- 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47502o |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.3859943551464E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3361608,324336960] |
[a1,a2,a3,a4,a6] |
Generators |
[7237:592191:1] |
Generators of the group modulo torsion |
j |
5762851946879949436033/3272968937100635136 |
j-invariant |
L |
4.4883812529928 |
L(r)(E,1)/r! |
Ω |
0.12484904336139 |
Real period |
R |
8.9876164289279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15834s2 |
Quadratic twists by: -3 |