Atkin-Lehner |
11+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67507b |
Isogeny class |
Conductor |
67507 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
344736 |
Modular degree for the optimal curve |
Δ |
53990746907339 = 11 · 172 · 198 |
Discriminant |
Eigenvalues |
-1 2 1 5 11+ -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37010,2702164] |
[a1,a2,a3,a4,a6] |
Generators |
[-211:1188:1] |
Generators of the group modulo torsion |
j |
330105601/3179 |
j-invariant |
L |
7.0576120262367 |
L(r)(E,1)/r! |
Ω |
0.63274071700902 |
Real period |
R |
1.8590058128459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000811 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67507d1 |
Quadratic twists by: -19 |