Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296v |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
2.1116862150355E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1573719,-297108522] |
[a1,a2,a3,a4,a6] |
Generators |
[4524810:3419108:3375] |
Generators of the group modulo torsion |
j |
572616640141312/280535480757 |
j-invariant |
L |
4.9707342834593 |
L(r)(E,1)/r! |
Ω |
0.14166446675966 |
Real period |
R |
11.696027262042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997738935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60648bk1 6384n1 |
Quadratic twists by: -4 -19 |