Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
13818f |
Isogeny class |
Conductor |
13818 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
190512 |
Modular degree for the optimal curve |
Δ |
1507922967335847552 = 27 · 39 · 78 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-478021,-112696720] |
[a1,a2,a3,a4,a6] |
Generators |
[-290:1394:1] |
Generators of the group modulo torsion |
j |
2095458259071625/261574157952 |
j-invariant |
L |
4.3178253644186 |
L(r)(E,1)/r! |
Ω |
0.18305572932048 |
Real period |
R |
2.6208323312534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
110544bq1 41454bl1 13818c1 |
Quadratic twists by: -4 -3 -7 |