Atkin-Lehner |
2- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
83824bb |
Isogeny class |
Conductor |
83824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
284544 |
Modular degree for the optimal curve |
Δ |
-207156448059392 = -1 · 213 · 138 · 31 |
Discriminant |
Eigenvalues |
2- -1 4 0 3 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27096,1860208] |
[a1,a2,a3,a4,a6] |
Generators |
[-1014:14405:8] |
Generators of the group modulo torsion |
j |
-658489/62 |
j-invariant |
L |
7.6017523500962 |
L(r)(E,1)/r! |
Ω |
0.55000832494275 |
Real period |
R |
6.9105793564611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968875 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10478b1 83824s1 |
Quadratic twists by: -4 13 |