Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
17052j |
Isogeny class |
Conductor |
17052 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
22176 |
Modular degree for the optimal curve |
Δ |
385180943616 = 28 · 32 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 0 3 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1829,3303] |
[a1,a2,a3,a4,a6] |
j |
458752/261 |
j-invariant |
L |
4.8998109080094 |
L(r)(E,1)/r! |
Ω |
0.81663515133491 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68208bb1 51156f1 17052h1 |
Quadratic twists by: -4 -3 -7 |