Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35904g |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-190745136857088 = -1 · 221 · 32 · 112 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 11+ 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9985,-764159] |
[a1,a2,a3,a4,a6] |
Generators |
[193:-2112:1] |
Generators of the group modulo torsion |
j |
-420021471169/727634952 |
j-invariant |
L |
2.1935353446141 |
L(r)(E,1)/r! |
Ω |
0.22556312906382 |
Real period |
R |
1.2155883774744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35904cy2 1122n2 107712cr2 |
Quadratic twists by: -4 8 -3 |