Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296v |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-1.0262109924238E+24 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2304744,48758353344] |
[a1,a2,a3,a4,a6] |
Generators |
[-1336:222376:1] |
Generators of the group modulo torsion |
j |
-28104147578308/21301741002339 |
j-invariant |
L |
4.9707342834593 |
L(r)(E,1)/r! |
Ω |
0.070832233379831 |
Real period |
R |
2.9240068155104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997738935 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60648bk3 6384n4 |
Quadratic twists by: -4 -19 |