Atkin-Lehner |
2- 3+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67146h |
Isogeny class |
Conductor |
67146 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9936 |
Modular degree for the optimal curve |
Δ |
-604314 = -1 · 2 · 33 · 192 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 0 -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,21,3] |
[a1,a2,a3,a4,a6] |
Generators |
[1614:22191:8] |
Generators of the group modulo torsion |
j |
2828663/1674 |
j-invariant |
L |
11.371916526955 |
L(r)(E,1)/r! |
Ω |
1.6958484524207 |
Real period |
R |
6.7057386590047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67146d1 |
Quadratic twists by: -19 |