Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200eh |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6451200 |
Modular degree for the optimal curve |
Δ |
-8.3916317302272E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 13+ -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6328208,-7545665088] |
[a1,a2,a3,a4,a6] |
Generators |
[2211768:24970400:729] |
Generators of the group modulo torsion |
j |
-17516447604815665/5244769831392 |
j-invariant |
L |
5.0942259394963 |
L(r)(E,1)/r! |
Ω |
0.046871512422944 |
Real period |
R |
4.5285377740795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999816329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13650df1 109200gj1 |
Quadratic twists by: -4 5 |