Atkin-Lehner |
2- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
89540f |
Isogeny class |
Conductor |
89540 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14851200 |
Modular degree for the optimal curve |
Δ |
1.2284704980688E+22 |
Discriminant |
Eigenvalues |
2- 3 5+ 3 11- -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26553208,-52394511532] |
[a1,a2,a3,a4,a6] |
Generators |
[-198739799330836631589002582280194915833025090285342975366923477803:818557160795018909472338299498902038115172126687623114731908151875:69676740980486121816379679712417388936723234838429651686553313] |
Generators of the group modulo torsion |
j |
4565397831743545344/27087483203125 |
j-invariant |
L |
13.197345787599 |
L(r)(E,1)/r! |
Ω |
0.066531221181857 |
Real period |
R |
99.181598903204 |
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 |
740a1 |
Quadratic twists by: -11 |