Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
2170q |
Isogeny class |
Conductor |
2170 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
Δ |
8016162280 = 23 · 5 · 7 · 315 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -3 -1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5149395,-4499762135] |
[a1,a2,a3,a4,a6] |
Generators |
[-35385:17680:27] |
Generators of the group modulo torsion |
j |
15100535141642459644213681/8016162280 |
j-invariant |
L |
3.9160164064469 |
L(r)(E,1)/r! |
Ω |
0.10022140861991 |
Real period |
R |
2.6049101087762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17360bb2 69440q2 19530r2 10850g2 |
Quadratic twists by: -4 8 -3 5 |