Atkin-Lehner |
2+ 3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
64050y |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
873600 |
Modular degree for the optimal curve |
Δ |
-280271431125000 = -1 · 23 · 37 · 56 · 75 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 1 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-988151,377997698] |
[a1,a2,a3,a4,a6] |
Generators |
[702:-5864:1] |
Generators of the group modulo torsion |
j |
-6829249786786129249/17937371592 |
j-invariant |
L |
5.2461254707885 |
L(r)(E,1)/r! |
Ω |
0.47615456123589 |
Real period |
R |
0.15739563512047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000195 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2562i1 |
Quadratic twists by: 5 |