Atkin-Lehner |
3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
68355w |
Isogeny class |
Conductor |
68355 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2.2442548191156E+19 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,374841,210020040] |
[a1,a2,a3,a4,a6] |
j |
67912318202399/261671484375 |
j-invariant |
L |
2.4414206035315 |
L(r)(E,1)/r! |
Ω |
0.15258878709968 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22785n3 9765d4 |
Quadratic twists by: -3 -7 |