Atkin-Lehner |
2- 3+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125628d |
Isogeny class |
Conductor |
125628 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16329600 |
Modular degree for the optimal curve |
Δ |
-2.2460011537909E+21 |
Discriminant |
Eigenvalues |
2- 3+ -4 1 -5 -3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66774290,-210010786959] |
[a1,a2,a3,a4,a6] |
Generators |
[495878068:596222261893:343] |
Generators of the group modulo torsion |
j |
-43743141251266567936/2983790910663 |
j-invariant |
L |
2.3247448627122 |
L(r)(E,1)/r! |
Ω |
0.026406780857905 |
Real period |
R |
14.672650907493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6612d1 |
Quadratic twists by: -19 |