Atkin-Lehner |
2- 3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87150cm |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
754 |
Product of Tamagawa factors cp |
deg |
23162880 |
Modular degree for the optimal curve |
Δ |
-2.5519519519358E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,72922412,40309691792] |
[a1,a2,a3,a4,a6] |
Generators |
[-388:109544:1] |
Generators of the group modulo torsion |
j |
2744648673908185904742791/1633249249238918062080 |
j-invariant |
L |
13.880950050788 |
L(r)(E,1)/r! |
Ω |
0.040931055515833 |
Real period |
R |
0.44977457443479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17430f1 |
Quadratic twists by: 5 |