Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55860r |
Isogeny class |
Conductor |
55860 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
3714690000 = 24 · 3 · 54 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2585,-49650] |
[a1,a2,a3,a4,a6] |
Generators |
[82:532:1] |
Generators of the group modulo torsion |
j |
348224438272/676875 |
j-invariant |
L |
6.0652267471797 |
L(r)(E,1)/r! |
Ω |
0.66960876730491 |
Real period |
R |
2.2644665972813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55860w1 |
Quadratic twists by: -7 |