Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992bz |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3194880 |
Modular degree for the optimal curve |
Δ |
-1.0051085081341E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 2 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-449244,496080720] |
[a1,a2,a3,a4,a6] |
Generators |
[4798:329840:1] |
Generators of the group modulo torsion |
j |
-839504640199248/8415220142959 |
j-invariant |
L |
9.4627537465856 |
L(r)(E,1)/r! |
Ω |
0.16128500543547 |
Real period |
R |
4.889250576177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000081939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992fv1 15624k1 13888g1 |
Quadratic twists by: -4 8 -3 |