Atkin-Lehner |
2- 3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120666bl |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4582656 |
Modular degree for the optimal curve |
Δ |
-1.2845034164721E+20 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -5 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-725605,594623063] |
[a1,a2,a3,a4,a6] |
Generators |
[-1109:6630:1] |
Generators of the group modulo torsion |
j |
-51793794721201/157466598156 |
j-invariant |
L |
8.8374523737862 |
L(r)(E,1)/r! |
Ω |
0.16292012592711 |
Real period |
R |
4.5203399966222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120666b1 |
Quadratic twists by: 13 |