Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680cn |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
14192640 |
Modular degree for the optimal curve |
Δ |
-3.9164801200423E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 5 -1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8039361,31359233439] |
[a1,a2,a3,a4,a6] |
Generators |
[1755:-150528:1] |
Generators of the group modulo torsion |
j |
-219203980537177787761/1494018600480000000 |
j-invariant |
L |
8.7766467928118 |
L(r)(E,1)/r! |
Ω |
0.081706024131934 |
Real period |
R |
1.3427172093285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018448 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680dn1 3990v1 |
Quadratic twists by: -4 8 |