Atkin-Lehner |
2+ 3- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67146d |
Isogeny class |
Conductor |
67146 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-12142975837306344 = -1 · 23 · 3 · 198 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 0 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-95312,-12513178] |
[a1,a2,a3,a4,a6] |
Generators |
[5087420:239969757:2197] |
Generators of the group modulo torsion |
j |
-5638078297/714984 |
j-invariant |
L |
8.1801750765429 |
L(r)(E,1)/r! |
Ω |
0.13490124608006 |
Real period |
R |
6.7375829973572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67146h2 |
Quadratic twists by: -19 |