Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
21462be |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
deg |
2016000 |
Modular degree for the optimal curve |
Δ |
-1.7226448899595E+21 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -4 -3 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1067760,-2041645824] |
[a1,a2,a3,a4,a6] |
Generators |
[16440:2095056:1] |
Generators of the group modulo torsion |
j |
-1144343586227588209/14642239967695872 |
j-invariant |
L |
6.5561592389161 |
L(r)(E,1)/r! |
Ω |
0.063711198776329 |
Real period |
R |
0.12250517373407 |
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 |
64386v1 3066g1 |
Quadratic twists by: -3 -7 |