Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64575bh |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-16345546875 = -1 · 36 · 57 · 7 · 41 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 4 0 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-75,6156] |
[a1,a2,a3,a4,a6] |
Generators |
[20:112:1] |
Generators of the group modulo torsion |
j |
-4096/1435 |
j-invariant |
L |
3.7183116883293 |
L(r)(E,1)/r! |
Ω |
1.0052088484733 |
Real period |
R |
0.46238049109156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000742 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7175e1 12915g1 |
Quadratic twists by: -3 5 |