Atkin-Lehner |
2- 3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
96558cm |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
714 |
Product of Tamagawa factors cp |
deg |
26732160 |
Modular degree for the optimal curve |
Δ |
-4.0528918692024E+23 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- 5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-59743912,180336341417] |
[a1,a2,a3,a4,a6] |
Generators |
[2749:190677:1] |
Generators of the group modulo torsion |
j |
-194903353656816444819225673/3349497412563956269056 |
j-invariant |
L |
7.5266289777848 |
L(r)(E,1)/r! |
Ω |
0.094834774713714 |
Real period |
R |
0.11115645281647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006583 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96558i1 |
Quadratic twists by: -11 |