Atkin-Lehner |
3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64575a |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1038625470421875 = -1 · 39 · 56 · 72 · 413 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 3 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-33750,-2845969] |
[a1,a2,a3,a4,a6] |
Generators |
[295:3587:1] |
Generators of the group modulo torsion |
j |
-13824000000/3377129 |
j-invariant |
L |
4.7601487432974 |
L(r)(E,1)/r! |
Ω |
0.17387595297592 |
Real period |
R |
3.422086738831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64575c1 2583a2 |
Quadratic twists by: -3 5 |