Atkin-Lehner |
2+ 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
89298k |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-5866132783104 = -1 · 214 · 38 · 113 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 11+ -2 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5418,-191372] |
[a1,a2,a3,a4,a6] |
Generators |
[1796:75134:1] |
Generators of the group modulo torsion |
j |
-18129265883/6045696 |
j-invariant |
L |
6.1155351127006 |
L(r)(E,1)/r! |
Ω |
0.27360530892431 |
Real period |
R |
2.7939585377901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29766y1 89298bu1 |
Quadratic twists by: -3 -11 |