Atkin-Lehner |
2- 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160cv |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-644239800000 = -1 · 26 · 32 · 55 · 713 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 2 -5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1085,35725] |
[a1,a2,a3,a4,a6] |
Generators |
[100:1065:1] [20:255:1] |
Generators of the group modulo torsion |
j |
2205121988096/10066246875 |
j-invariant |
L |
8.705467327877 |
L(r)(E,1)/r! |
Ω |
0.65289850313663 |
Real period |
R |
0.44445230440732 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68160dg1 34080t1 |
Quadratic twists by: -4 8 |