Atkin-Lehner |
2+ 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730bb |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
92844118080 = 26 · 35 · 5 · 73 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1279,-9838] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:98:1] |
Generators of the group modulo torsion |
j |
673834153663/270682560 |
j-invariant |
L |
5.6845893144528 |
L(r)(E,1)/r! |
Ω |
0.82669167133537 |
Real period |
R |
0.68763113353837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86730s1 |
Quadratic twists by: -7 |