Atkin-Lehner |
2- 3+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
74448r |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
267460998837829632 = 224 · 33 · 112 · 474 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1072875,-427007718] |
[a1,a2,a3,a4,a6] |
Generators |
[-5742495415:44714578:9938375] |
Generators of the group modulo torsion |
j |
1234944318919921875/2418447978496 |
j-invariant |
L |
6.9937410964202 |
L(r)(E,1)/r! |
Ω |
0.14835881869172 |
Real period |
R |
11.785179265371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001283 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9306h2 74448o2 |
Quadratic twists by: -4 -3 |