Atkin-Lehner |
2+ 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
17808f |
Isogeny class |
Conductor |
17808 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
121693482913572864 = 211 · 34 · 712 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-222384,36784224] |
[a1,a2,a3,a4,a6] |
Generators |
[-510:4158:1] |
Generators of the group modulo torsion |
j |
593890427791981154/59420645953893 |
j-invariant |
L |
2.9861626339886 |
L(r)(E,1)/r! |
Ω |
0.32152146455416 |
Real period |
R |
3.095866542046 |
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 |
8904i3 71232df3 53424l3 124656bk3 |
Quadratic twists by: -4 8 -3 -7 |