Atkin-Lehner |
3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12675a |
Isogeny class |
Conductor |
12675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-8.4017675273895E+22 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 6 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-13584783,-23784041032] |
[a1,a2,a3,a4,a6] |
Generators |
[262922131844485396207660844108:2580111952710510385179342322628:59675346387377261713040869] |
Generators of the group modulo torsion |
j |
-21752792449024/6591796875 |
j-invariant |
L |
3.6206737320571 |
L(r)(E,1)/r! |
Ω |
0.038716589205052 |
Real period |
R |
46.758686733498 |
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 |
38025y2 2535e2 12675b2 |
Quadratic twists by: -3 5 13 |