Atkin-Lehner |
2+ 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400d |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-25320211200 = -1 · 28 · 310 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 -2 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,732,-1008] |
[a1,a2,a3,a4,a6] |
Generators |
[96:972:1] |
Generators of the group modulo torsion |
j |
6768361520/3956283 |
j-invariant |
L |
3.5448632562226 |
L(r)(E,1)/r! |
Ω |
0.70308712151331 |
Real period |
R |
1.2604637270952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004517 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40200o1 80400bn1 |
Quadratic twists by: -4 5 |