Atkin-Lehner |
2+ 3+ 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
64050l |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22016 |
Modular degree for the optimal curve |
Δ |
-122976000 = -1 · 28 · 32 · 53 · 7 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-35,525] |
[a1,a2,a3,a4,a6] |
Generators |
[5:20:1] |
Generators of the group modulo torsion |
j |
-39651821/983808 |
j-invariant |
L |
3.8450897032452 |
L(r)(E,1)/r! |
Ω |
1.5582099849455 |
Real period |
R |
1.2338162829988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64050cu1 |
Quadratic twists by: 5 |