Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41280bn |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
50462720 |
Modular degree for the optimal curve |
Δ |
-4.3361432364949E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -5 5 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1598198715,19974746146275] |
[a1,a2,a3,a4,a6] |
Generators |
[35910:11120895:1] |
Generators of the group modulo torsion |
j |
27554726454844416496885738496/26465717996184551883676875 |
j-invariant |
L |
7.0989502759282 |
L(r)(E,1)/r! |
Ω |
0.019545492531809 |
Real period |
R |
2.0636443253579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41280cn1 5160j1 123840bp1 |
Quadratic twists by: -4 8 -3 |