Atkin-Lehner |
2- 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072bz |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
1 |
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 |
0.63019515414204 |
L(r)(E,1)/r! |
Ω |
0.63019513836394 |
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 |
75072cw1 37536x1 |
Quadratic twists by: -4 8 |