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 |
2435758881214464 = 212 · 36 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-158409,24203529] |
[a1,a2,a3,a4,a6] |
Generators |
[-433:3380:1] |
Generators of the group modulo torsion |
j |
22235451328/123201 |
j-invariant |
L |
2.9975299231015 |
L(r)(E,1)/r! |
Ω |
0.46097527425487 |
Real period |
R |
3.2512914363428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32448bi2 16224t1 97344bo2 2496b2 |
Quadratic twists by: -4 8 -3 13 |