Atkin-Lehner |
2- 3+ 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55062y |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
4935168 |
Modular degree for the optimal curve |
Δ |
-8.2373013208294E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 6 5 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7696406,-8331540443] |
[a1,a2,a3,a4,a6] |
j |
-2561511294883247297499/41849826351823616 |
j-invariant |
L |
5.0710068899437 |
L(r)(E,1)/r! |
Ω |
0.045276847234005 |
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 |
55062b1 |
Quadratic twists by: -3 |