Atkin-Lehner |
2- 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126ef |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-17629387776 = -1 · 210 · 33 · 73 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,589,3091] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-110:1] |
Generators of the group modulo torsion |
j |
2444008923/1903616 |
j-invariant |
L |
8.6533738329237 |
L(r)(E,1)/r! |
Ω |
0.78954482030985 |
Real period |
R |
0.54799762154511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000185202 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126m1 126126eb1 |
Quadratic twists by: -3 -7 |