Atkin-Lehner |
3- 7+ 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
58149f |
Isogeny class |
Conductor |
58149 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
137984 |
Modular degree for the optimal curve |
Δ |
-554134907781 = -1 · 36 · 77 · 13 · 71 |
Discriminant |
Eigenvalues |
-1 3- -3 7+ 0 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-46289,-3821786] |
[a1,a2,a3,a4,a6] |
Generators |
[262:1277:1] |
Generators of the group modulo torsion |
j |
-15045990520540617/760130189 |
j-invariant |
L |
3.161841519961 |
L(r)(E,1)/r! |
Ω |
0.16274195392093 |
Real period |
R |
4.8571395447919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6461b1 |
Quadratic twists by: -3 |