Atkin-Lehner |
2+ 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
89298h |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
323136 |
Modular degree for the optimal curve |
Δ |
-121495184008704 = -1 · 29 · 33 · 118 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -2 11- 3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6738,-569772] |
[a1,a2,a3,a4,a6] |
Generators |
[52141635:586056912:274625] |
Generators of the group modulo torsion |
j |
-5845851/20992 |
j-invariant |
L |
6.4369432583401 |
L(r)(E,1)/r! |
Ω |
0.24161730910779 |
Real period |
R |
13.320534207635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89298bq1 89298bp1 |
Quadratic twists by: -3 -11 |