Atkin-Lehner |
2- 7+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50456f |
Isogeny class |
Conductor |
50456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-7932490496 = -1 · 28 · 7 · 174 · 53 |
Discriminant |
Eigenvalues |
2- 0 -3 7+ 5 6 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4324,109524] |
[a1,a2,a3,a4,a6] |
Generators |
[28:102:1] |
Generators of the group modulo torsion |
j |
-34925352864768/30986291 |
j-invariant |
L |
5.2849425186557 |
L(r)(E,1)/r! |
Ω |
1.3057446673774 |
Real period |
R |
0.50593184972153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100912g1 |
Quadratic twists by: -4 |