Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
51480bs |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-266405293440000 = -1 · 210 · 37 · 54 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1587,-785666] |
[a1,a2,a3,a4,a6] |
Generators |
[179:2160:1] |
Generators of the group modulo torsion |
j |
-592143556/356874375 |
j-invariant |
L |
6.6559880449756 |
L(r)(E,1)/r! |
Ω |
0.2480141097895 |
Real period |
R |
3.3546418239399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999381 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960bt3 17160f4 |
Quadratic twists by: -4 -3 |