Atkin-Lehner |
2- 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072ca |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
2026944 = 26 · 34 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-524,-4446] |
[a1,a2,a3,a4,a6] |
j |
249095649088/31671 |
j-invariant |
L |
1.9954047394145 |
L(r)(E,1)/r! |
Ω |
0.99770236351155 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75072cx1 37536y4 |
Quadratic twists by: -4 8 |