Atkin-Lehner |
2- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
31450n |
Isogeny class |
Conductor |
31450 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-2166530116000000 = -1 · 28 · 56 · 172 · 374 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,22012,-1844219] |
[a1,a2,a3,a4,a6] |
Generators |
[485:10857:1] |
Generators of the group modulo torsion |
j |
75488529485447/138657927424 |
j-invariant |
L |
11.423319909422 |
L(r)(E,1)/r! |
Ω |
0.24244807046268 |
Real period |
R |
0.7361963048173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1258b2 |
Quadratic twists by: 5 |