Atkin-Lehner |
3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
8967d |
Isogeny class |
Conductor |
8967 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-3588781707 = -1 · 39 · 72 · 612 |
Discriminant |
Eigenvalues |
-2 3+ 4 7- 0 7 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,334,-1786] |
[a1,a2,a3,a4,a6] |
j |
83842863104/73240443 |
j-invariant |
L |
1.5453968382063 |
L(r)(E,1)/r! |
Ω |
0.77269841910317 |
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 |
26901p1 8967h1 |
Quadratic twists by: -3 -7 |