Atkin-Lehner |
5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
29645n |
Isogeny class |
Conductor |
29645 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-2.0814433160756E+21 |
Discriminant |
Eigenvalues |
-1 2 5- 7- 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3180785,226187380] |
[a1,a2,a3,a4,a6] |
Generators |
[34677:14148197:729] |
Generators of the group modulo torsion |
j |
12829337821/7503125 |
j-invariant |
L |
5.4146395907346 |
L(r)(E,1)/r! |
Ω |
0.088929879928209 |
Real period |
R |
6.0886617581241 |
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 |
4235c1 29645m1 |
Quadratic twists by: -7 -11 |