Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966dr |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
2171512257516 = 22 · 33 · 72 · 177 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24571,-1482811] |
[a1,a2,a3,a4,a6] |
j |
1387087009/1836 |
j-invariant |
L |
4.5762476942075 |
L(r)(E,1)/r! |
Ω |
0.38135397228456 |
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 |
84966co1 4998be1 |
Quadratic twists by: -7 17 |