Atkin-Lehner |
3- 11- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
23529f |
Isogeny class |
Conductor |
23529 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
44842721121 = 36 · 112 · 232 · 312 |
Discriminant |
Eigenvalues |
1 3- 2 -4 11- -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2630,-51109] |
[a1,a2,a3,a4,a6] |
Generators |
[555:12742:1] |
Generators of the group modulo torsion |
j |
2010729085860313/44842721121 |
j-invariant |
L |
7.4873362654547 |
L(r)(E,1)/r! |
Ω |
0.66760551240103 |
Real period |
R |
3.7384034565196 |
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 |
70587g2 |
Quadratic twists by: -3 |