Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17052d |
Isogeny class |
Conductor |
17052 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
27720 |
Modular degree for the optimal curve |
Δ |
-119386440432 = -1 · 24 · 37 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -1 3 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2466,-49167] |
[a1,a2,a3,a4,a6] |
Generators |
[287:4775:1] |
Generators of the group modulo torsion |
j |
-881395456/63423 |
j-invariant |
L |
5.8237226201557 |
L(r)(E,1)/r! |
Ω |
0.33733512665697 |
Real period |
R |
5.7546360280448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68208co1 51156bf1 348d1 |
Quadratic twists by: -4 -3 -7 |