Atkin-Lehner |
3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
96387l |
Isogeny class |
Conductor |
96387 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
365783040 |
Modular degree for the optimal curve |
Δ |
-6.9437099152405E+29 |
Discriminant |
Eigenvalues |
2 3- 1 -1 5 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-55842129860,-5079327263397373] |
[a1,a2,a3,a4,a6] |
Generators |
[3418961749645341751333717907918768441991928117370353837370:85901691647031338293815152178664977030641176328793097957691:12516885929390399487812764882003970717460042652603592] |
Generators of the group modulo torsion |
j |
-409343623062978363908240429056/14759442841001398216731 |
j-invariant |
L |
18.366613149496 |
L(r)(E,1)/r! |
Ω |
0.0049105272557988 |
Real period |
R |
77.921932618536 |
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 |
5073e1 |
Quadratic twists by: -19 |