Atkin-Lehner |
3+ 5- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
102225k |
Isogeny class |
Conductor |
102225 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-10198485103150125 = -1 · 32 · 53 · 292 · 476 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 0 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10018,-4878244] |
[a1,a2,a3,a4,a6] |
Generators |
[224:1932:1] [3822:77951:8] |
Generators of the group modulo torsion |
j |
-889527728729717/81587880825201 |
j-invariant |
L |
5.2398736371437 |
L(r)(E,1)/r! |
Ω |
0.17992711043594 |
Real period |
R |
2.4268501585855 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984737 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102225t2 |
Quadratic twists by: 5 |