Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400dk |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-328149937152000 = -1 · 213 · 314 · 53 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,512,-871372] |
[a1,a2,a3,a4,a6] |
Generators |
[98:360:1] [188:-2430:1] |
Generators of the group modulo torsion |
j |
28934443/640917846 |
j-invariant |
L |
12.241921491006 |
L(r)(E,1)/r! |
Ω |
0.24992250893112 |
Real period |
R |
0.43734704378245 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10050bd1 80400cn1 |
Quadratic twists by: -4 5 |