Atkin-Lehner |
2+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21218a |
Isogeny class |
Conductor |
21218 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
819468 |
Modular degree for the optimal curve |
Δ |
1.0377380506727E+20 |
Discriminant |
Eigenvalues |
2+ 2 -2 0 0 -2 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7262081,7513523189] |
[a1,a2,a3,a4,a6] |
Generators |
[31056135:1544350334:35937] |
Generators of the group modulo torsion |
j |
3343561177/8192 |
j-invariant |
L |
4.6246797131609 |
L(r)(E,1)/r! |
Ω |
0.18910322932167 |
Real period |
R |
8.1519491227976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21218b1 |
Quadratic twists by: -103 |