Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810da |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
628404480 |
Modular degree for the optimal curve |
Δ |
-2.8810532585092E+33 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 6 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-25601247651,3025717891442631] |
[a1,a2,a3,a4,a6] |
j |
-109264302241400105173004689/169637740417250683593750 |
j-invariant |
L |
5.5443310292837 |
L(r)(E,1)/r! |
Ω |
0.012834099669275 |
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 |
75810m1 |
Quadratic twists by: -19 |