Atkin-Lehner |
2- 3+ 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84912m |
Isogeny class |
Conductor |
84912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-4461806374354944 = -1 · 230 · 34 · 292 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 3 -5 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-882336,-318728448] |
[a1,a2,a3,a4,a6] |
j |
-18546683202086221729/1089308196864 |
j-invariant |
L |
0.62308803810778 |
L(r)(E,1)/r! |
Ω |
0.077886015694416 |
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 |
10614o1 |
Quadratic twists by: -4 |