Atkin-Lehner |
2- 3- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
24168s |
Isogeny class |
Conductor |
24168 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
203528588544 = 28 · 37 · 193 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 1 -2 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1500,-5904] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:114:1] |
Generators of the group modulo torsion |
j |
1458972216016/795033549 |
j-invariant |
L |
6.9892176741481 |
L(r)(E,1)/r! |
Ω |
0.81869726713694 |
Real period |
R |
0.10163093936085 |
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 |
48336c1 72504m1 |
Quadratic twists by: -4 -3 |