Atkin-Lehner |
3+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
27825d |
Isogeny class |
Conductor |
27825 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
-146550796875 = -1 · 32 · 56 · 7 · 533 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 1 -4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1758,34418] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-80:1] |
Generators of the group modulo torsion |
j |
-38477541376/9379251 |
j-invariant |
L |
2.2608529923505 |
L(r)(E,1)/r! |
Ω |
0.98213559760714 |
Real period |
R |
0.3836627375858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83475bc1 1113e1 |
Quadratic twists by: -3 5 |