Atkin-Lehner |
2+ 3- 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850bj |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
842400 |
Modular degree for the optimal curve |
Δ |
-38997628800000000 = -1 · 213 · 3 · 58 · 133 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 13+ 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,34299,9184048] |
[a1,a2,a3,a4,a6] |
j |
11424211996055/99833929728 |
j-invariant |
L |
0.53278547196626 |
L(r)(E,1)/r! |
Ω |
0.2663927436553 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83850bp1 |
Quadratic twists by: 5 |