Atkin-Lehner |
2+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
87362s |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14774400 |
Modular degree for the optimal curve |
Δ |
9.2523094566079E+23 |
Discriminant |
Eigenvalues |
2+ 2 -3 1 11- -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31866199,51485658261] |
[a1,a2,a3,a4,a6] |
Generators |
[47154:897475:27] |
Generators of the group modulo torsion |
j |
329474953/85184 |
j-invariant |
L |
4.7803749169138 |
L(r)(E,1)/r! |
Ω |
0.082712782319484 |
Real period |
R |
7.2243593777287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7942s1 87362bc1 |
Quadratic twists by: -11 -19 |