Atkin-Lehner |
2+ 3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
43050bd |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-578833080000 = -1 · 26 · 3 · 54 · 76 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-77326,-8282752] |
[a1,a2,a3,a4,a6] |
Generators |
[693:16117:1] |
Generators of the group modulo torsion |
j |
-81811104611115625/926132928 |
j-invariant |
L |
4.7941977056131 |
L(r)(E,1)/r! |
Ω |
0.14314907648647 |
Real period |
R |
2.7909120007879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129150dv2 43050bi2 |
Quadratic twists by: -3 5 |