Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600b |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
37260000000000 = 211 · 34 · 510 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26408,-1616688] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:162:1] |
Generators of the group modulo torsion |
j |
63649751618/1164375 |
j-invariant |
L |
3.7641574470246 |
L(r)(E,1)/r! |
Ω |
0.37492690748038 |
Real period |
R |
2.5099275164863 |
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 |
13800m3 110400hq4 82800bg4 5520g3 |
Quadratic twists by: -4 8 -3 5 |