Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400cf |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-47258883000000 = -1 · 26 · 39 · 56 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10125,-513000] |
[a1,a2,a3,a4,a6] |
j |
-5832000/2401 |
j-invariant |
L |
0.93302430435384 |
L(r)(E,1)/r! |
Ω |
0.23325607594933 |
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 |
50400cn1 100800jg2 50400d1 2016b1 |
Quadratic twists by: -4 8 -3 5 |