Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3570j |
Isogeny class |
Conductor |
3570 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-425079900 = -1 · 22 · 36 · 52 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,31,992] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:24:1] |
Generators of the group modulo torsion |
j |
3449795831/425079900 |
j-invariant |
L |
2.9320153026356 |
L(r)(E,1)/r! |
Ω |
1.2888443773083 |
Real period |
R |
1.1374590114436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
28560ch1 114240ch1 10710bn1 17850bi1 |
Quadratic twists by: -4 8 -3 5 |