Atkin-Lehner |
2- 3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
83664bt |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-4113026031550464 = -1 · 220 · 39 · 74 · 83 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -5 -2 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,39309,722738] |
[a1,a2,a3,a4,a6] |
j |
2249635843727/1377444096 |
j-invariant |
L |
2.1641723104523 |
L(r)(E,1)/r! |
Ω |
0.2705215393459 |
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 |
10458o1 27888r1 |
Quadratic twists by: -4 -3 |