Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424bv |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-1.7338965786155E+20 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 0 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,758751,580469823] |
[a1,a2,a3,a4,a6] |
Generators |
[3741:236196:1] |
Generators of the group modulo torsion |
j |
184281206604333047/661429053732096 |
j-invariant |
L |
10.447433422497 |
L(r)(E,1)/r! |
Ω |
0.12831704672117 |
Real period |
R |
1.9385453544746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424ct1 1482b1 |
Quadratic twists by: -4 8 |