Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
66600z |
Isogeny class |
Conductor |
66600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-499500000000 = -1 · 28 · 33 · 59 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -3 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3300,80500] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:250:1] [-4:306:1] |
Generators of the group modulo torsion |
j |
-36799488/4625 |
j-invariant |
L |
10.368151542025 |
L(r)(E,1)/r! |
Ω |
0.90279361132885 |
Real period |
R |
0.71778251778193 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66600a1 13320b1 |
Quadratic twists by: -3 5 |