Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39762d |
Isogeny class |
Conductor |
39762 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2310144 |
Modular degree for the optimal curve |
Δ |
-1.0573365648999E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 4 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11193417,-14496106307] |
[a1,a2,a3,a4,a6] |
Generators |
[105735005469371146:8831767136163630397:12344008516631] |
Generators of the group modulo torsion |
j |
-190109375/1296 |
j-invariant |
L |
4.3669773645603 |
L(r)(E,1)/r! |
Ω |
0.041252664951108 |
Real period |
R |
26.464819725804 |
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 |
13254d1 39762e1 |
Quadratic twists by: -3 -47 |