Atkin-Lehner |
2+ 3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
80496m |
Isogeny class |
Conductor |
80496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
2966001981696 = 28 · 313 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 2 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-282279,-57725210] |
[a1,a2,a3,a4,a6] |
Generators |
[3018061:-4071240:4913] |
Generators of the group modulo torsion |
j |
13328826941157712/15892929 |
j-invariant |
L |
8.8650448933363 |
L(r)(E,1)/r! |
Ω |
0.20712377038299 |
Real period |
R |
10.700178058377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40248g1 26832h1 |
Quadratic twists by: -4 -3 |