Atkin-Lehner |
2- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
128440z |
Isogeny class |
Conductor |
128440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
311808 |
Modular degree for the optimal curve |
Δ |
-6104175733760 = -1 · 210 · 5 · 137 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- -3 -4 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16280,-813760] |
[a1,a2,a3,a4,a6] |
Generators |
[4008:6760:27] |
Generators of the group modulo torsion |
j |
-96550276/1235 |
j-invariant |
L |
5.6707249611951 |
L(r)(E,1)/r! |
Ω |
0.21116556158688 |
Real period |
R |
3.3568002600092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000114406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9880e1 |
Quadratic twists by: 13 |