Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47652d |
Isogeny class |
Conductor |
47652 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1871424 |
Modular degree for the optimal curve |
Δ |
2.5416545020619E+19 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 11- -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17904276,29164674024] |
[a1,a2,a3,a4,a6] |
Generators |
[299070:526338:125] |
Generators of the group modulo torsion |
j |
145990721706064/5845851 |
j-invariant |
L |
4.8980638563384 |
L(r)(E,1)/r! |
Ω |
0.19896657290992 |
Real period |
R |
1.3676400749429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47652k1 |
Quadratic twists by: -19 |