Atkin-Lehner |
2- 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
10998m |
Isogeny class |
Conductor |
10998 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-29966589470376 = -1 · 23 · 310 · 13 · 474 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1264,262491] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:423:1] |
Generators of the group modulo torsion |
j |
306591054407/41106432744 |
j-invariant |
L |
6.0291840530564 |
L(r)(E,1)/r! |
Ω |
0.50884992071756 |
Real period |
R |
1.9747748165622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87984bg3 3666a4 |
Quadratic twists by: -4 -3 |