Atkin-Lehner |
2- 3+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400ck |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-204862390272000 = -1 · 225 · 36 · 53 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -3 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41888,-3356928] |
[a1,a2,a3,a4,a6] |
Generators |
[432:7680:1] |
Generators of the group modulo torsion |
j |
-15875704027637/400121856 |
j-invariant |
L |
4.9764335620223 |
L(r)(E,1)/r! |
Ω |
0.16660950722482 |
Real period |
R |
1.8668028173303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004665 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10050bm1 80400du1 |
Quadratic twists by: -4 5 |