Atkin-Lehner |
2- 3+ 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
17490s |
Isogeny class |
Conductor |
17490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-499687813350 = -1 · 2 · 35 · 52 · 114 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1924,-9277] |
[a1,a2,a3,a4,a6] |
Generators |
[15526:676609:8] |
Generators of the group modulo torsion |
j |
787634638719551/499687813350 |
j-invariant |
L |
7.0185233554276 |
L(r)(E,1)/r! |
Ω |
0.53415375915692 |
Real period |
R |
6.569759395221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52470p2 87450t2 |
Quadratic twists by: -3 5 |