Atkin-Lehner |
2+ 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17238a |
Isogeny class |
Conductor |
17238 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
30458696394417408 = 28 · 38 · 137 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 2 13+ 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3004485,2003217741] |
[a1,a2,a3,a4,a6] |
j |
621403856941038625/6310317312 |
j-invariant |
L |
1.3436317964143 |
L(r)(E,1)/r! |
Ω |
0.33590794910359 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51714n2 1326d2 |
Quadratic twists by: -3 13 |