Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13800q |
Isogeny class |
Conductor |
13800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-771282000000000 = -1 · 210 · 36 · 59 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 0 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23208,-1914912] |
[a1,a2,a3,a4,a6] |
Generators |
[308:4500:1] |
Generators of the group modulo torsion |
j |
-691234772/385641 |
j-invariant |
L |
5.7577987345072 |
L(r)(E,1)/r! |
Ω |
0.18851911168317 |
Real period |
R |
2.5451878959377 |
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 |
27600o2 110400bs2 41400cd2 13800s2 |
Quadratic twists by: -4 8 -3 5 |