Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3570g |
Isogeny class |
Conductor |
3570 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
50979600 = 24 · 32 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-122,-444] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:14:1] |
Generators of the group modulo torsion |
j |
203401212841/50979600 |
j-invariant |
L |
2.4208370725 |
L(r)(E,1)/r! |
Ω |
1.4613828244254 |
Real period |
R |
0.82826930494819 |
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 |
28560ee2 114240dj2 10710x2 17850by2 |
Quadratic twists by: -4 8 -3 5 |