Atkin-Lehner |
2- 3- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13248bd |
Isogeny class |
Conductor |
13248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-51267577577472 = -1 · 222 · 312 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20460,1177936] |
[a1,a2,a3,a4,a6] |
Generators |
[77:243:1] |
Generators of the group modulo torsion |
j |
-4956477625/268272 |
j-invariant |
L |
4.2461936065501 |
L(r)(E,1)/r! |
Ω |
0.62466140778685 |
Real period |
R |
1.6993980873551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13248o1 3312n1 4416z1 |
Quadratic twists by: -4 8 -3 |