Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200eq |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
36053334569779200 = 227 · 37 · 52 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 -2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-95475,-6743630] |
[a1,a2,a3,a4,a6] |
Generators |
[521:-9216:1] |
Generators of the group modulo torsion |
j |
1289333385625/482967552 |
j-invariant |
L |
5.2358356254873 |
L(r)(E,1)/r! |
Ω |
0.28022593222821 |
Real period |
R |
1.1677710338217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7650n2 20400di2 61200hf2 |
Quadratic twists by: -4 -3 5 |