Atkin-Lehner |
2- 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59774w |
Isogeny class |
Conductor |
59774 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-16627871546 = -1 · 2 · 116 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3 -3 -3 11- 13- -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7404,247129] |
[a1,a2,a3,a4,a6] |
j |
-25334470953/9386 |
j-invariant |
L |
4.852057115164 |
L(r)(E,1)/r! |
Ω |
1.213014281064 |
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 |
494c1 |
Quadratic twists by: -11 |