Atkin-Lehner |
2- 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
17700i |
Isogeny class |
Conductor |
17700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-388399887996192000 = -1 · 28 · 320 · 53 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -4 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5588,-29983128] |
[a1,a2,a3,a4,a6] |
Generators |
[1162:39130:1] |
Generators of the group modulo torsion |
j |
-603143487632/12137496499881 |
j-invariant |
L |
4.5130790728432 |
L(r)(E,1)/r! |
Ω |
0.13697146188971 |
Real period |
R |
5.4915077571379 |
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 |
70800dj2 53100be2 17700v2 |
Quadratic twists by: -4 -3 5 |