Atkin-Lehner |
2+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
2170a |
Isogeny class |
Conductor |
2170 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8408750 = 2 · 54 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 0 6 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-59,96] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:18:1] |
Generators of the group modulo torsion |
j |
22164361129/8408750 |
j-invariant |
L |
1.4792637956965 |
L(r)(E,1)/r! |
Ω |
2.1217328590685 |
Real period |
R |
0.69719606281912 |
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 |
17360y2 69440bd2 19530bz2 10850y2 |
Quadratic twists by: -4 8 -3 5 |