Atkin-Lehner |
3- 5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
17385f |
Isogeny class |
Conductor |
17385 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
211931521257796875 = 312 · 56 · 193 · 612 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 -2 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-152386,5788985] |
[a1,a2,a3,a4,a6] |
Generators |
[-271:5351:1] |
Generators of the group modulo torsion |
j |
391344377208271257889/211931521257796875 |
j-invariant |
L |
4.2159000141651 |
L(r)(E,1)/r! |
Ω |
0.27572837234498 |
Real period |
R |
0.42472355213517 |
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 |
52155m2 86925e2 |
Quadratic twists by: -3 5 |