Atkin-Lehner |
3- 7+ 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
127323d |
Isogeny class |
Conductor |
127323 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
32256000 |
Modular degree for the optimal curve |
Δ |
-7.0337380449833E+24 |
Discriminant |
Eigenvalues |
-2 3- -2 7+ 3 -1 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-37766181,-155762151440] |
[a1,a2,a3,a4,a6] |
Generators |
[10289939:159354905:1331] |
Generators of the group modulo torsion |
j |
-8171567914071725656403968/9648474684476410910547 |
j-invariant |
L |
2.6248442284675 |
L(r)(E,1)/r! |
Ω |
0.02912853357587 |
Real period |
R |
3.7546862450399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000472163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42441a1 |
Quadratic twists by: -3 |