Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
94864dj |
Isogeny class |
Conductor |
94864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
2002510422212608 = 221 · 72 · 117 |
Discriminant |
Eigenvalues |
2- -3 4 7- 11- -1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1210363,512528170] |
[a1,a2,a3,a4,a6] |
j |
551516475321/5632 |
j-invariant |
L |
1.6860175356759 |
L(r)(E,1)/r! |
Ω |
0.42150431216221 |
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 |
11858bo1 94864bn1 8624be1 |
Quadratic twists by: -4 -7 -11 |