Atkin-Lehner |
3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4851j |
Isogeny class |
Conductor |
4851 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7565343767289 = 312 · 76 · 112 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5081,45056] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:303:1] |
Generators of the group modulo torsion |
j |
169112377/88209 |
j-invariant |
L |
1.9825722734783 |
L(r)(E,1)/r! |
Ω |
0.65233108844474 |
Real period |
R |
1.5196058478564 |
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 |
77616gn2 1617j2 121275de2 99b2 |
Quadratic twists by: -4 -3 5 -7 |