Atkin-Lehner |
3+ 19- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
5757b |
Isogeny class |
Conductor |
5757 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
840 |
Modular degree for the optimal curve |
Δ |
4196853 = 37 · 19 · 101 |
Discriminant |
Eigenvalues |
0 3+ 2 -2 3 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-77,-217] |
[a1,a2,a3,a4,a6] |
j |
51147440128/4196853 |
j-invariant |
L |
1.6183283025984 |
L(r)(E,1)/r! |
Ω |
1.6183283025984 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92112n1 17271k1 109383l1 |
Quadratic twists by: -4 -3 -19 |