Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
38304bn |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
57466801728 = 26 · 39 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1245,-12364] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:56:1] |
Generators of the group modulo torsion |
j |
4574296000/1231713 |
j-invariant |
L |
5.5973489186608 |
L(r)(E,1)/r! |
Ω |
0.81991346683187 |
Real period |
R |
1.7066889205667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304g1 76608ca1 12768f1 |
Quadratic twists by: -4 8 -3 |