Atkin-Lehner |
2- 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072cw |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
321024 |
Modular degree for the optimal curve |
Δ |
-29084430950208 = -1 · 26 · 319 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 2 3 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-156304,-23838598] |
[a1,a2,a3,a4,a6] |
j |
-6598675828987167808/454444233597 |
j-invariant |
L |
2.2810174692888 |
L(r)(E,1)/r! |
Ω |
0.12005355088126 |
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 |
75072bz1 37536o1 |
Quadratic twists by: -4 8 |