Atkin-Lehner |
2+ 3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
64050ba |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
519120 |
Modular degree for the optimal curve |
Δ |
-2943522832031250 = -1 · 2 · 3 · 510 · 77 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 1 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-80951,9234548] |
[a1,a2,a3,a4,a6] |
j |
-6007345507825/301416738 |
j-invariant |
L |
3.1240283820932 |
L(r)(E,1)/r! |
Ω |
0.44628976848097 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64050ca1 |
Quadratic twists by: 5 |