Atkin-Lehner |
2- 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010ds |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
2304 |
Product of Tamagawa factors cp |
deg |
12828672 |
Modular degree for the optimal curve |
Δ |
1.5065182911784E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6932570,-6773548188] |
[a1,a2,a3,a4,a6] |
Generators |
[-1676:12598:1] |
Generators of the group modulo torsion |
j |
313197485253202237969/12805194189312000 |
j-invariant |
L |
16.595934575147 |
L(r)(E,1)/r! |
Ω |
0.093276032078303 |
Real period |
R |
1.2355751307986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010865 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17430v1 |
Quadratic twists by: -7 |