Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
50460f |
Isogeny class |
Conductor |
50460 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-41917199430870000 = -1 · 24 · 35 · 54 · 297 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 3 1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160070,26598525] |
[a1,a2,a3,a4,a6] |
Generators |
[-425:4205:1] |
Generators of the group modulo torsion |
j |
-47659369216/4404375 |
j-invariant |
L |
5.4974463553792 |
L(r)(E,1)/r! |
Ω |
0.35348698310867 |
Real period |
R |
1.9440059387071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1740h1 |
Quadratic twists by: 29 |