Atkin-Lehner |
2- 3- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
48204k |
Isogeny class |
Conductor |
48204 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-6747017472 = -1 · 28 · 39 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 3 -5 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1335,-19186] |
[a1,a2,a3,a4,a6] |
Generators |
[43:54:1] |
Generators of the group modulo torsion |
j |
-1409938000/36153 |
j-invariant |
L |
6.2231645760296 |
L(r)(E,1)/r! |
Ω |
0.39431352280992 |
Real period |
R |
1.3151896092838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16068c1 |
Quadratic twists by: -3 |