Atkin-Lehner |
2- 3+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
68244b |
Isogeny class |
Conductor |
68244 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
23212494505728 = 28 · 32 · 118 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-272532,54851832] |
[a1,a2,a3,a4,a6] |
Generators |
[8458:246235:8] |
Generators of the group modulo torsion |
j |
4936074881488/51183 |
j-invariant |
L |
5.6390364942056 |
L(r)(E,1)/r! |
Ω |
0.61138588467853 |
Real period |
R |
4.6116835827254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6204a2 |
Quadratic twists by: -11 |