Atkin-Lehner |
3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
67155d |
Isogeny class |
Conductor |
67155 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
199734380318075625 = 32 · 54 · 1110 · 372 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-369476,-83879476] |
[a1,a2,a3,a4,a6] |
Generators |
[58548:2576900:27] |
Generators of the group modulo torsion |
j |
3148664403538009/112744850625 |
j-invariant |
L |
2.5669327835443 |
L(r)(E,1)/r! |
Ω |
0.19406979268694 |
Real period |
R |
6.6134269241176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973387 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6105a2 |
Quadratic twists by: -11 |