Atkin-Lehner |
2- 3+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62244a |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
-3.9984963478015E+19 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ -4 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7799328,8389182825] |
[a1,a2,a3,a4,a6] |
j |
-166603450513650352128/126965412659449 |
j-invariant |
L |
2.4305766287038 |
L(r)(E,1)/r! |
Ω |
0.20254805250588 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62244b1 |
Quadratic twists by: -3 |