Atkin-Lehner |
2+ 3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59280u |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.243407361874E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-261621740,1619819613900] |
[a1,a2,a3,a4,a6] |
Generators |
[361585:-397820100:343] |
Generators of the group modulo torsion |
j |
7735800083347101743363021776/48570600073203535640625 |
j-invariant |
L |
8.9642082573235 |
L(r)(E,1)/r! |
Ω |
0.071563644007033 |
Real period |
R |
10.438503588227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000307 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29640f2 |
Quadratic twists by: -4 |