Atkin-Lehner |
2+ 3- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
24168h |
Isogeny class |
Conductor |
24168 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
19551718656 = 28 · 33 · 19 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 2 4 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1604,-24336] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:12:1] |
Generators of the group modulo torsion |
j |
1783887932752/76373901 |
j-invariant |
L |
7.5521641194619 |
L(r)(E,1)/r! |
Ω |
0.75635040335664 |
Real period |
R |
1.6641678437987 |
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 |
48336a1 72504be1 |
Quadratic twists by: -4 -3 |