Atkin-Lehner |
3- 7- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
116571j |
Isogeny class |
Conductor |
116571 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
83712 |
Modular degree for the optimal curve |
Δ |
-10607961 = -1 · 3 · 73 · 132 · 61 |
Discriminant |
Eigenvalues |
1 3- -3 7- -6 13+ 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1615,-25105] |
[a1,a2,a3,a4,a6] |
Generators |
[123:1219:1] |
Generators of the group modulo torsion |
j |
-1356939710911/30927 |
j-invariant |
L |
6.0442423574485 |
L(r)(E,1)/r! |
Ω |
0.37658069426752 |
Real period |
R |
4.012581127531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016887 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116571f1 |
Quadratic twists by: -7 |