Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230ep |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
17821440 |
Modular degree for the optimal curve |
Δ |
-2.3721915572461E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5157527,234377410479] |
[a1,a2,a3,a4,a6] |
Generators |
[5207:587886:1] |
Generators of the group modulo torsion |
j |
-1421509920358606969/2222549728809984000 |
j-invariant |
L |
11.023748233667 |
L(r)(E,1)/r! |
Ω |
0.054318838656575 |
Real period |
R |
1.3009308469451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410g1 76230co1 |
Quadratic twists by: -3 -11 |