Atkin-Lehner |
3+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64575c |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1483485874171875 = -1 · 39 · 56 · 76 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ -3 -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,27000,-719719] |
[a1,a2,a3,a4,a6] |
Generators |
[210:671:8] [249:4630:1] |
Generators of the group modulo torsion |
j |
7077888000/4823609 |
j-invariant |
L |
8.2801618546177 |
L(r)(E,1)/r! |
Ω |
0.27083837372728 |
Real period |
R |
3.8215420421567 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64575a1 2583b2 |
Quadratic twists by: -3 5 |