Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850dv |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
5135996250000 = 24 · 32 · 57 · 73 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23563,-1397719] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:102:1] |
Generators of the group modulo torsion |
j |
269961894847/958320 |
j-invariant |
L |
8.5316628334012 |
L(r)(E,1)/r! |
Ω |
0.38542024384211 |
Real period |
R |
2.7670001036425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954814 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170y1 80850fs1 |
Quadratic twists by: 5 -7 |