Atkin-Lehner |
2+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
2170h |
Isogeny class |
Conductor |
2170 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
2575179687500000 = 25 · 512 · 73 · 312 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-48448,3295278] |
[a1,a2,a3,a4,a6] |
j |
12575880055729259641/2575179687500000 |
j-invariant |
L |
0.86410604851039 |
L(r)(E,1)/r! |
Ω |
0.4320530242552 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
17360be2 69440u2 19530bv2 10850v2 |
Quadratic twists by: -4 8 -3 5 |