Atkin-Lehner |
2+ 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
37170l |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1007192888100 = 22 · 310 · 52 · 72 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15939,-769055] |
[a1,a2,a3,a4,a6] |
j |
614320095655729/1381608900 |
j-invariant |
L |
1.6998151221821 |
L(r)(E,1)/r! |
Ω |
0.42495378055348 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12390o2 |
Quadratic twists by: -3 |