Atkin-Lehner |
2- 3+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49818ba |
Isogeny class |
Conductor |
49818 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1378944 |
Modular degree for the optimal curve |
Δ |
-4.4409421992045E+19 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 0 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,779211,181180203] |
[a1,a2,a3,a4,a6] |
Generators |
[5421980833:2052022842114:141420761] |
Generators of the group modulo torsion |
j |
8534004983/7243344 |
j-invariant |
L |
9.9451484007958 |
L(r)(E,1)/r! |
Ω |
0.1312792006794 |
Real period |
R |
18.938926252752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49818i1 |
Quadratic twists by: -19 |