Atkin-Lehner |
2- 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49350cb |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
1408 |
Product of Tamagawa factors cp |
deg |
26492928 |
Modular degree for the optimal curve |
Δ |
-1.6242540292178E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-783820188,8446379038992] |
[a1,a2,a3,a4,a6] |
Generators |
[16272:-32436:1] |
Generators of the group modulo torsion |
j |
-3408419340318211285837753081/10395225786993868800 |
j-invariant |
L |
11.513229497016 |
L(r)(E,1)/r! |
Ω |
0.089043569566087 |
Real period |
R |
0.36732622583619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870d1 |
Quadratic twists by: 5 |