Atkin-Lehner |
2- 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298bp |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
29376 |
Modular degree for the optimal curve |
Δ |
-68580864 = -1 · 29 · 33 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 11- -3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56,443] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:25:1] |
Generators of the group modulo torsion |
j |
-5845851/20992 |
j-invariant |
L |
14.469005075611 |
L(r)(E,1)/r! |
Ω |
1.7085127955675 |
Real period |
R |
0.47048732498761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89298i1 89298h1 |
Quadratic twists by: -3 -11 |