Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840cq |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
-2106036910080000 = -1 · 214 · 314 · 54 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 1 5 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-167232,-26414944] |
[a1,a2,a3,a4,a6] |
Generators |
[57097:13642965:1] |
Generators of the group modulo torsion |
j |
-43304636317696/176326875 |
j-invariant |
L |
8.1674676428338 |
L(r)(E,1)/r! |
Ω |
0.11801409612382 |
Real period |
R |
8.6509451223305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998641012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123840gi1 7740b1 41280e1 |
Quadratic twists by: -4 8 -3 |