Atkin-Lehner |
2+ 3- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17490i |
Isogeny class |
Conductor |
17490 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-142365976062750 = -1 · 2 · 38 · 53 · 11 · 534 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9926,-428878] |
[a1,a2,a3,a4,a6] |
Generators |
[220:3413:1] |
Generators of the group modulo torsion |
j |
108170644781435111/142365976062750 |
j-invariant |
L |
4.2639894743903 |
L(r)(E,1)/r! |
Ω |
0.30994764137765 |
Real period |
R |
3.4392820795779 |
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 |
52470bf3 87450bq3 |
Quadratic twists by: -3 5 |