Atkin-Lehner |
2- 3- 7+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84546bj |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-1096284562758 = -1 · 2 · 39 · 73 · 113 · 61 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 11+ 0 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-842,51455] |
[a1,a2,a3,a4,a6] |
Generators |
[126:1571:8] |
Generators of the group modulo torsion |
j |
-90458382169/1503819702 |
j-invariant |
L |
6.3945481624696 |
L(r)(E,1)/r! |
Ω |
0.73552404167402 |
Real period |
R |
4.3469334846163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999866816 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28182g1 |
Quadratic twists by: -3 |