Atkin-Lehner |
2- 3+ 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
49560v |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52480 |
Modular degree for the optimal curve |
Δ |
-45693527040 = -1 · 210 · 32 · 5 · 75 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 -6 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,800,5212] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:60:1] |
Generators of the group modulo torsion |
j |
55226908796/44622585 |
j-invariant |
L |
5.4657233572055 |
L(r)(E,1)/r! |
Ω |
0.73247815039053 |
Real period |
R |
1.8654902382725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99120bh1 |
Quadratic twists by: -4 |