Atkin-Lehner |
3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4851k |
Isogeny class |
Conductor |
4851 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
110993282064819 = 36 · 712 · 11 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 11+ -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22721,1222526] |
[a1,a2,a3,a4,a6] |
Generators |
[51:415:1] |
Generators of the group modulo torsion |
j |
15124197817/1294139 |
j-invariant |
L |
1.9299546953198 |
L(r)(E,1)/r! |
Ω |
0.57862980013835 |
Real period |
R |
1.6676938301988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77616gs2 539c2 121275dg2 693a2 |
Quadratic twists by: -4 -3 5 -7 |