Atkin-Lehner |
2+ 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3264i |
Isogeny class |
Conductor |
3264 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1534132224 = 216 · 34 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-289,289] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:32:1] [-8:45:1] |
Generators of the group modulo torsion |
j |
40873252/23409 |
j-invariant |
L |
3.1605669580311 |
L(r)(E,1)/r! |
Ω |
1.2895517088331 |
Real period |
R |
2.4509036251759 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3264be2 408b2 9792j2 81600dg2 |
Quadratic twists by: -4 8 -3 5 |