Atkin-Lehner |
2- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
71656g |
Isogeny class |
Conductor |
71656 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
586595224393984 = 28 · 138 · 532 |
Discriminant |
Eigenvalues |
2- 0 -2 0 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-155311,-23529870] |
[a1,a2,a3,a4,a6] |
Generators |
[242502:7535879:216] |
Generators of the group modulo torsion |
j |
335297473488/474721 |
j-invariant |
L |
3.9571634806038 |
L(r)(E,1)/r! |
Ω |
0.24051154423325 |
Real period |
R |
8.2265562183835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002511 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5512b2 |
Quadratic twists by: 13 |