Atkin-Lehner |
2- 5- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123970bw |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1524096 |
Modular degree for the optimal curve |
Δ |
21039660466316800 = 29 · 52 · 710 · 11 · 232 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- -1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1632730,-803657625] |
[a1,a2,a3,a4,a6] |
Generators |
[-735:459:1] |
Generators of the group modulo torsion |
j |
1704066137585329/74483200 |
j-invariant |
L |
9.1224640035253 |
L(r)(E,1)/r! |
Ω |
0.13355867415291 |
Real period |
R |
1.897306769513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050442 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123970t1 |
Quadratic twists by: -7 |