Atkin-Lehner |
2+ 3- 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
66576h |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4432363776 = 28 · 32 · 192 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1852,29900] |
[a1,a2,a3,a4,a6] |
Generators |
[-4207:77400:343] |
Generators of the group modulo torsion |
j |
2745624699088/17313921 |
j-invariant |
L |
10.001368973242 |
L(r)(E,1)/r! |
Ω |
1.3868310277123 |
Real period |
R |
7.2116709055497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997762 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33288e2 |
Quadratic twists by: -4 |