Atkin-Lehner |
2- 5+ 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
82150k |
Isogeny class |
Conductor |
82150 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-21769750000000000 = -1 · 210 · 512 · 31 · 532 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 6 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,12020,7077647] |
[a1,a2,a3,a4,a6] |
j |
12292804122039/1393264000000 |
j-invariant |
L |
5.86639421017 |
L(r)(E,1)/r! |
Ω |
0.29331971090296 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16430b1 |
Quadratic twists by: 5 |