Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
87362bb |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
90288000 |
Modular degree for the optimal curve |
Δ |
2.4134697913927E+28 |
Discriminant |
Eigenvalues |
2- 2 2 -2 11- 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2926278462,-60469670731909] |
[a1,a2,a3,a4,a6] |
Generators |
[-1555349028039873525:26327363849320130477:47733388296875] |
Generators of the group modulo torsion |
j |
4847659921191907/42218553344 |
j-invariant |
L |
17.282611354653 |
L(r)(E,1)/r! |
Ω |
0.020537559813033 |
Real period |
R |
23.375344578027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004328 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7942c1 87362i1 |
Quadratic twists by: -11 -19 |