Atkin-Lehner |
3- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
96921l |
Isogeny class |
Conductor |
96921 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3193344 |
Modular degree for the optimal curve |
Δ |
334580391053679177 = 313 · 119 · 89 |
Discriminant |
Eigenvalues |
-1 3- -2 0 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48571601,-130281050248] |
[a1,a2,a3,a4,a6] |
j |
7372406363569883/194643 |
j-invariant |
L |
0.11437568502706 |
L(r)(E,1)/r! |
Ω |
0.057187873964756 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32307e1 96921k1 |
Quadratic twists by: -3 -11 |