Atkin-Lehner |
2+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88088k |
Isogeny class |
Conductor |
88088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-604238243504896 = -1 · 28 · 7 · 1110 · 13 |
Discriminant |
Eigenvalues |
2+ 0 -3 7- 11- 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14641,966306] |
[a1,a2,a3,a4,a6] |
Generators |
[38:1256:1] |
Generators of the group modulo torsion |
j |
52272/91 |
j-invariant |
L |
3.6582440299103 |
L(r)(E,1)/r! |
Ω |
0.35298182201005 |
Real period |
R |
5.1819156146451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88088u1 |
Quadratic twists by: -11 |