Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450dd |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
1215 |
Product of Tamagawa factors cp |
deg |
194400 |
Modular degree for the optimal curve |
Δ |
4009713684480000 = 215 · 39 · 54 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-71838,6749892] |
[a1,a2,a3,a4,a6] |
Generators |
[-228:3474:1] |
Generators of the group modulo torsion |
j |
65600442865402225/6415541895168 |
j-invariant |
L |
10.468343306016 |
L(r)(E,1)/r! |
Ω |
0.42756766173439 |
Real period |
R |
0.18135909398227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
91350cs1 30450a1 |
Quadratic twists by: -3 5 |