Atkin-Lehner |
2- 5- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
49450u |
Isogeny class |
Conductor |
49450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
56640 |
Modular degree for the optimal curve |
Δ |
-764157031250 = -1 · 2 · 58 · 232 · 432 |
Discriminant |
Eigenvalues |
2- 1 5- 2 -3 -2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2013,-54733] |
[a1,a2,a3,a4,a6] |
j |
-2309449585/1956242 |
j-invariant |
L |
4.1289751883112 |
L(r)(E,1)/r! |
Ω |
0.34408126570946 |
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 |
49450d1 |
Quadratic twists by: 5 |