Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600cm |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1819065004032000000 = 218 · 3 · 56 · 236 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-308208,-11354412] |
[a1,a2,a3,a4,a6] |
Generators |
[2921596804:45039282294:4173281] |
Generators of the group modulo torsion |
j |
50591419971625/28422890688 |
j-invariant |
L |
7.1177268824424 |
L(r)(E,1)/r! |
Ω |
0.21795626907025 |
Real period |
R |
16.328337131125 |
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 |
3450r4 110400fr4 82800ee4 1104g4 |
Quadratic twists by: -4 8 -3 5 |