Atkin-Lehner |
2+ 3- 7+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478ba |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
8064000 |
Modular degree for the optimal curve |
Δ |
-2.3701421672173E+22 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 0 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,956062,-7398226636] |
[a1,a2,a3,a4,a6] |
Generators |
[13773:1611289:1] |
Generators of the group modulo torsion |
j |
16764793782997799/4111403268243456 |
j-invariant |
L |
7.1433534227076 |
L(r)(E,1)/r! |
Ω |
0.056428256019384 |
Real period |
R |
3.5164383900552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999099754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128478b1 |
Quadratic twists by: -7 |