Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200cp |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
9031680 |
Modular degree for the optimal curve |
Δ |
835072602000000000 = 210 · 3 · 59 · 77 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-102947208,402006339588] |
[a1,a2,a3,a4,a6] |
Generators |
[1358:514500:1] |
Generators of the group modulo torsion |
j |
60330571443221291348/417536301 |
j-invariant |
L |
10.238240370686 |
L(r)(E,1)/r! |
Ω |
0.19383840350385 |
Real period |
R |
1.8863725367829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023703 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600bu1 109200ba1 |
Quadratic twists by: -4 5 |