Atkin-Lehner |
2+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
8050g |
Isogeny class |
Conductor |
8050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
197225000000 = 26 · 58 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3775,85125] |
[a1,a2,a3,a4,a6] |
j |
380920459249/12622400 |
j-invariant |
L |
1.9988931851145 |
L(r)(E,1)/r! |
Ω |
0.99944659255726 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64400bt1 72450dg1 1610d1 56350r1 |
Quadratic twists by: -4 -3 5 -7 |