Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6384o |
Isogeny class |
Conductor |
6384 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
3724700112 = 24 · 36 · 75 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 0 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-106435,13329764] |
[a1,a2,a3,a4,a6] |
Generators |
[224:882:1] |
Generators of the group modulo torsion |
j |
8334147900493981696/232793757 |
j-invariant |
L |
3.826052889805 |
L(r)(E,1)/r! |
Ω |
1.0222955665805 |
Real period |
R |
0.49901457267757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3192m1 25536cq1 19152y1 44688s1 |
Quadratic twists by: -4 8 -3 -7 |