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 |
-134323680000000 = -1 · 211 · 3 · 57 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11592,279312] |
[a1,a2,a3,a4,a6] |
Generators |
[2:550:1] |
Generators of the group modulo torsion |
j |
5382838942/4197615 |
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 |
13800m4 110400hq3 82800bg3 5520g4 |
Quadratic twists by: -4 8 -3 5 |