Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12240bn |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2157373440000 = -1 · 214 · 36 · 54 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 -6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1797,64298] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:250:1] |
Generators of the group modulo torsion |
j |
214921799/722500 |
j-invariant |
L |
4.3532144886534 |
L(r)(E,1)/r! |
Ω |
0.58325787598866 |
Real period |
R |
1.8659047172207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1530k2 48960fe2 1360j2 61200ft2 |
Quadratic twists by: -4 8 -3 5 |