Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200di |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
7077888 |
Modular degree for the optimal curve |
Δ |
8.9606011119206E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9087408,-9506714688] |
[a1,a2,a3,a4,a6] |
Generators |
[-1678:31850:1] |
Generators of the group modulo torsion |
j |
1296772724742600169/140009392373760 |
j-invariant |
L |
5.4943603272055 |
L(r)(E,1)/r! |
Ω |
0.087562416897049 |
Real period |
R |
1.3072485207036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016793 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650cv1 21840bw1 |
Quadratic twists by: -4 5 |