Atkin-Lehner |
2+ 3+ 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430a |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
27342441000000 = 26 · 34 · 56 · 72 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13958,-588588] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:231:1] |
Generators of the group modulo torsion |
j |
300775120462810729/27342441000000 |
j-invariant |
L |
3.0371279817122 |
L(r)(E,1)/r! |
Ω |
0.44178196796516 |
Real period |
R |
3.4373607366788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52290ch2 87150cv2 122010bh2 |
Quadratic twists by: -3 5 -7 |