Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448f |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1092718907326365696 = -1 · 215 · 312 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70529,50831169] |
[a1,a2,a3,a4,a6] |
Generators |
[217:6760:1] |
Generators of the group modulo torsion |
j |
-245314376/6908733 |
j-invariant |
L |
2.9975299231015 |
L(r)(E,1)/r! |
Ω |
0.23048763712744 |
Real period |
R |
1.6256457181714 |
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 |
32448bi3 16224t4 97344bo3 2496b4 |
Quadratic twists by: -4 8 -3 13 |