Atkin-Lehner |
2- 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072bx |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-823490592768 = -1 · 214 · 35 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 -3 3 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,111,-43695] |
[a1,a2,a3,a4,a6] |
j |
9148592/50261877 |
j-invariant |
L |
0.82604339750605 |
L(r)(E,1)/r! |
Ω |
0.41302169497551 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072bl1 18768u1 |
Quadratic twists by: -4 8 |