Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850hb |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
924 |
Product of Tamagawa factors cp |
deg |
975744 |
Modular degree for the optimal curve |
Δ |
36298525697280000 = 211 · 314 · 54 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-324913,70666217] |
[a1,a2,a3,a4,a6] |
Generators |
[-358:-11701:1] |
Generators of the group modulo torsion |
j |
123865101442627825/1185257981952 |
j-invariant |
L |
13.167013564384 |
L(r)(E,1)/r! |
Ω |
0.36779360513125 |
Real period |
R |
0.038744596106714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990366 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850k1 80850ew1 |
Quadratic twists by: 5 -7 |