Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136t |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
24196947339043584 = 28 · 39 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-153711,21955050] |
[a1,a2,a3,a4,a6] |
Generators |
[306:1890:1] |
Generators of the group modulo torsion |
j |
79708988544624/4802079233 |
j-invariant |
L |
4.2656101759238 |
L(r)(E,1)/r! |
Ω |
0.37249730238328 |
Real period |
R |
2.2902770831531 |
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 |
4284a2 68544dc2 17136v2 119952dd2 |
Quadratic twists by: -4 8 -3 -7 |