Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760be |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1.2292195672064E+19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11- -7 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1255638336,17125985729536] |
[a1,a2,a3,a4,a6] |
Generators |
[16416:968000:1] |
Generators of the group modulo torsion |
j |
-249353795628717731809/14000000 |
j-invariant |
L |
1.8846983425539 |
L(r)(E,1)/r! |
Ω |
0.12315659122261 |
Real period |
R |
0.63763617359298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003372 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470y2 67760bq2 |
Quadratic twists by: -4 -11 |