Atkin-Lehner |
2+ 3- 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
126936a |
Isogeny class |
Conductor |
126936 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-9203795065412352 = -1 · 28 · 38 · 413 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 2 3 2 -2 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10884,4636388] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:2214:1] |
Generators of the group modulo torsion |
j |
-764050066432/49317317523 |
j-invariant |
L |
9.7894452551996 |
L(r)(E,1)/r! |
Ω |
0.33907475515309 |
Real period |
R |
0.60148027026078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038339 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42312f1 |
Quadratic twists by: -3 |