Atkin-Lehner |
2- 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
123662bk |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
807840 |
Modular degree for the optimal curve |
Δ |
3589321136242688 = 215 · 7 · 118 · 73 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11- 2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-84158,8937028] |
[a1,a2,a3,a4,a6] |
Generators |
[132:298:1] |
Generators of the group modulo torsion |
j |
307516746625/16744448 |
j-invariant |
L |
7.6313600698191 |
L(r)(E,1)/r! |
Ω |
0.43761021159441 |
Real period |
R |
3.4877431104003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000088022 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
123662e1 |
Quadratic twists by: -11 |