Atkin-Lehner |
2- 7+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
50344g |
Isogeny class |
Conductor |
50344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
704256 |
Modular degree for the optimal curve |
Δ |
-2.8547676449625E+19 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 2 4 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,629047,170689405] |
[a1,a2,a3,a4,a6] |
Generators |
[260:18755:1] |
Generators of the group modulo torsion |
j |
107530667791013504000/111514361131347923 |
j-invariant |
L |
4.8938444999714 |
L(r)(E,1)/r! |
Ω |
0.1388223483952 |
Real period |
R |
4.4065712009914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100688g1 |
Quadratic twists by: -4 |