Atkin-Lehner |
2- 3- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
41808l |
Isogeny class |
Conductor |
41808 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-96325632 = -1 · 212 · 33 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 3 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-432,3348] |
[a1,a2,a3,a4,a6] |
Generators |
[12:6:1] |
Generators of the group modulo torsion |
j |
-2181825073/23517 |
j-invariant |
L |
7.9759415614796 |
L(r)(E,1)/r! |
Ω |
1.9060596945734 |
Real period |
R |
0.69741970692965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2613a1 125424q1 |
Quadratic twists by: -4 -3 |