Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27888x |
Isogeny class |
Conductor |
27888 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3185625268224 = 220 · 32 · 72 · 832 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21264,1197504] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:1408:1] |
Generators of the group modulo torsion |
j |
259608602138257/777740544 |
j-invariant |
L |
3.6833845882066 |
L(r)(E,1)/r! |
Ω |
0.80027179169231 |
Real period |
R |
2.3013335134664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3486m2 111552dp2 83664ch2 |
Quadratic twists by: -4 8 -3 |