Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680dn |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
12 |
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 |
[10344:996075:1] |
Generators of the group modulo torsion |
j |
-219203980537177787761/1494018600480000000 |
j-invariant |
L |
3.0488997808346 |
L(r)(E,1)/r! |
Ω |
0.039837318598953 |
Real period |
R |
6.3778135127538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997191356 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680cn1 31920bv1 |
Quadratic twists by: -4 8 |