Atkin-Lehner |
2+ 3+ 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
34440f |
Isogeny class |
Conductor |
34440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7.2053474672499E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-785160,488625372] |
[a1,a2,a3,a4,a6] |
Generators |
[-406:183885:8] |
Generators of the group modulo torsion |
j |
-52275573695006998564/70364721359862405 |
j-invariant |
L |
4.6623128678636 |
L(r)(E,1)/r! |
Ω |
0.17533214348083 |
Real period |
R |
6.6478296211184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68880bb3 103320y3 |
Quadratic twists by: -4 -3 |