Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
19404v |
Isogeny class |
Conductor |
19404 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
-1.3428487486802E+22 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ -1 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10002909,13392607529] |
[a1,a2,a3,a4,a6] |
j |
-235165059164416/28529701497 |
j-invariant |
L |
0.48853834298227 |
L(r)(E,1)/r! |
Ω |
0.12213458574557 |
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 |
77616gu1 6468i1 19404u1 |
Quadratic twists by: -4 -3 -7 |