Atkin-Lehner |
3- 5+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
102225o |
Isogeny class |
Conductor |
102225 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-18242370703125 = -1 · 36 · 58 · 29 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,562,-205383] |
[a1,a2,a3,a4,a6] |
Generators |
[57:84:1] [112:-1181:1] |
Generators of the group modulo torsion |
j |
1256216039/1167511725 |
j-invariant |
L |
9.0494466372937 |
L(r)(E,1)/r! |
Ω |
0.32138627628744 |
Real period |
R |
2.3464615909108 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20445d2 |
Quadratic twists by: 5 |