Atkin-Lehner |
2- 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350bu |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
7145755686000000000 = 210 · 316 · 59 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -6 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-509946305,-4432230064303] |
[a1,a2,a3,a4,a6] |
j |
10300053769617070951829/5018692608 |
j-invariant |
L |
2.5416071842632 |
L(r)(E,1)/r! |
Ω |
0.031770089803399 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12450l2 37350x2 |
Quadratic twists by: -3 5 |