Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200ck |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-316021500000000 = -1 · 28 · 37 · 59 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11625,-706250] |
[a1,a2,a3,a4,a6] |
Generators |
[101:1224:1] |
Generators of the group modulo torsion |
j |
476656/867 |
j-invariant |
L |
3.8962804080838 |
L(r)(E,1)/r! |
Ω |
0.28477702140075 |
Real period |
R |
1.7102329697181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998518 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30600bc2 20400br2 61200cv2 |
Quadratic twists by: -4 -3 5 |