Atkin-Lehner |
3+ 5+ 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
102225b |
Isogeny class |
Conductor |
102225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5478146905517578125 = 33 · 514 · 294 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-442963,13802156] |
[a1,a2,a3,a4,a6] |
j |
615185517375480169/350601401953125 |
j-invariant |
L |
0.41362498563268 |
L(r)(E,1)/r! |
Ω |
0.20681252053617 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20445e4 |
Quadratic twists by: 5 |