Atkin-Lehner |
3+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47481g |
Isogeny class |
Conductor |
47481 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3239040 |
Modular degree for the optimal curve |
Δ |
152072259556881699 = 35 · 710 · 17 · 194 |
Discriminant |
Eigenvalues |
1 3+ 1 7- -6 -5 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-42335682,106007280597] |
[a1,a2,a3,a4,a6] |
Generators |
[441862988:-220065455:117649] |
Generators of the group modulo torsion |
j |
29707288174257450169/538356051 |
j-invariant |
L |
4.3677003300351 |
L(r)(E,1)/r! |
Ω |
0.23298906013144 |
Real period |
R |
9.3731875812912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47481n1 |
Quadratic twists by: -7 |