Atkin-Lehner |
3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18759j |
Isogeny class |
Conductor |
18759 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
30151854640323 = 33 · 138 · 372 |
Discriminant |
Eigenvalues |
1 3- 2 2 0 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26030,1592489] |
[a1,a2,a3,a4,a6] |
Generators |
[261:3418:1] |
Generators of the group modulo torsion |
j |
404075127457/6246747 |
j-invariant |
L |
8.9120104770874 |
L(r)(E,1)/r! |
Ω |
0.6625795544823 |
Real period |
R |
2.2417460204837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56277m2 1443e2 |
Quadratic twists by: -3 13 |