Atkin-Lehner |
2- 3- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
76860j |
Isogeny class |
Conductor |
76860 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-683328441600 = -1 · 28 · 36 · 52 · 74 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2193,-4394] |
[a1,a2,a3,a4,a6] |
Generators |
[47:450:1] |
Generators of the group modulo torsion |
j |
6249886256/3661525 |
j-invariant |
L |
4.9170116371783 |
L(r)(E,1)/r! |
Ω |
0.53350013231471 |
Real period |
R |
1.5360857288063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995709 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8540c2 |
Quadratic twists by: -3 |