Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504bm |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-115396267416223744 = -1 · 222 · 317 |
Discriminant |
Eigenvalues |
2- 0 2 0 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42284,16682960] |
[a1,a2,a3,a4,a6] |
Generators |
[-115156916:702411920:389017] |
Generators of the group modulo torsion |
j |
-35937/496 |
j-invariant |
L |
7.933160450849 |
L(r)(E,1)/r! |
Ω |
0.28162040935244 |
Real period |
R |
14.084846458564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000246 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61504k1 15376u1 1984j1 |
Quadratic twists by: -4 8 -31 |