Atkin-Lehner |
2- 3+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400cj |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
432131604480000 = 219 · 39 · 54 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 -1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23008,-889088] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:320:1] |
Generators of the group modulo torsion |
j |
526185927025/168801408 |
j-invariant |
L |
5.870385389865 |
L(r)(E,1)/r! |
Ω |
0.39748709908815 |
Real period |
R |
1.2307287046321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983649 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10050bl1 80400dg1 |
Quadratic twists by: -4 5 |