Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
12936z |
Isogeny class |
Conductor |
12936 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-1188223344 = -1 · 24 · 39 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- 1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,264,-99] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-189:1] |
Generators of the group modulo torsion |
j |
369381632/216513 |
j-invariant |
L |
5.5121075921727 |
L(r)(E,1)/r! |
Ω |
0.90570032982344 |
Real period |
R |
0.16905602740856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25872c1 103488n1 38808r1 12936q1 |
Quadratic twists by: -4 8 -3 -7 |