Atkin-Lehner |
2+ 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298j |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-3120072288594624 = -1 · 26 · 312 · 113 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 11+ -6 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,32697,1421437] |
[a1,a2,a3,a4,a6] |
j |
3984138055477/3215578176 |
j-invariant |
L |
2.3172364959692 |
L(r)(E,1)/r! |
Ω |
0.28965456068547 |
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 |
29766z1 89298bv1 |
Quadratic twists by: -3 -11 |