Atkin-Lehner |
2+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84800f |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2120000000000 = 212 · 510 · 53 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 0 6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4416633,-3571133863] |
[a1,a2,a3,a4,a6] |
Generators |
[864717554400148912217644923031548728310183474034471805613265609032:-168014187739887328153178980100327844122981779247362957895677971994475:22832391528722912499068724612659374041768834341600511216615936] |
Generators of the group modulo torsion |
j |
148873629225439936/33125 |
j-invariant |
L |
10.742571712251 |
L(r)(E,1)/r! |
Ω |
0.10414219288558 |
Real period |
R |
103.15292404159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84800h2 42400l1 16960i2 |
Quadratic twists by: -4 8 5 |