Atkin-Lehner |
2+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
2170h |
Isogeny class |
Conductor |
2170 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-39185107281510400 = -1 · 230 · 52 · 72 · 313 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-60943,-11151294] |
[a1,a2,a3,a4,a6] |
j |
-25031389351549772521/39185107281510400 |
j-invariant |
L |
0.86410604851039 |
L(r)(E,1)/r! |
Ω |
0.14401767475173 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17360be3 69440u3 19530bv3 10850v3 |
Quadratic twists by: -4 8 -3 5 |