Atkin-Lehner |
5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
50225n |
Isogeny class |
Conductor |
50225 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-8.2805680379639E+19 |
Discriminant |
Eigenvalues |
2 -1 5+ 7- 3 -1 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-220908,439706343] |
[a1,a2,a3,a4,a6] |
Generators |
[68868:2434343:64] |
Generators of the group modulo torsion |
j |
-648562364416/45045546875 |
j-invariant |
L |
9.8863191491997 |
L(r)(E,1)/r! |
Ω |
0.15863046747765 |
Real period |
R |
3.8951845546868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10045i1 7175b1 |
Quadratic twists by: 5 -7 |