Atkin-Lehner |
3+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
126243a |
Isogeny class |
Conductor |
126243 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
10816878969 = 33 · 136 · 83 |
Discriminant |
Eigenvalues |
-1 3+ -2 0 0 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1046,12276] |
[a1,a2,a3,a4,a6] |
Generators |
[26:33:1] |
Generators of the group modulo torsion |
j |
970299/83 |
j-invariant |
L |
3.3919136307201 |
L(r)(E,1)/r! |
Ω |
1.2493110450573 |
Real period |
R |
2.7150273534926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999126425 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126243e1 747b1 |
Quadratic twists by: -3 13 |