Atkin-Lehner |
3+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58443d |
Isogeny class |
Conductor |
58443 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
144092955705237 = 38 · 72 · 117 · 23 |
Discriminant |
Eigenvalues |
-1 3+ -4 7+ 11- 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-161840,24985676] |
[a1,a2,a3,a4,a6] |
Generators |
[-236:7196:1] [6:4897:1] |
Generators of the group modulo torsion |
j |
264621653112601/81336717 |
j-invariant |
L |
4.1613036634484 |
L(r)(E,1)/r! |
Ω |
0.56807053322813 |
Real period |
R |
1.8313322994383 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5313b2 |
Quadratic twists by: -11 |