Atkin-Lehner |
2- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
3248k |
Isogeny class |
Conductor |
3248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-57240857870336 = -1 · 224 · 76 · 29 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 3 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2088,361456] |
[a1,a2,a3,a4,a6] |
Generators |
[34:686:1] |
Generators of the group modulo torsion |
j |
245667233447/13974818816 |
j-invariant |
L |
2.2619477870868 |
L(r)(E,1)/r! |
Ω |
0.47695071912233 |
Real period |
R |
1.1856297183329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
406b2 12992x2 29232bb2 81200bu2 |
Quadratic twists by: -4 8 -3 5 |