Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42560bl |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-136671395840 = -1 · 222 · 5 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 0 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21985,1262177] |
[a1,a2,a3,a4,a6] |
Generators |
[137:896:1] |
Generators of the group modulo torsion |
j |
-4483146738169/521360 |
j-invariant |
L |
5.5338085390482 |
L(r)(E,1)/r! |
Ω |
0.99635282785893 |
Real period |
R |
0.46283876423441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42560da1 1330d1 |
Quadratic twists by: -4 8 |