Atkin-Lehner |
3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
38829c |
Isogeny class |
Conductor |
38829 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-1669647 = -1 · 3 · 7 · 433 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 2 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5,64] |
[a1,a2,a3,a4,a6] |
Generators |
[0:8:1] [5586:26447:216] |
Generators of the group modulo torsion |
j |
125/21 |
j-invariant |
L |
9.4097110927717 |
L(r)(E,1)/r! |
Ω |
2.051691109497 |
Real period |
R |
9.1726391455474 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116487i1 38829h1 |
Quadratic twists by: -3 -43 |