Atkin-Lehner |
2+ 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
89298i |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
88128 |
Modular degree for the optimal curve |
Δ |
-49995449856 = -1 · 29 · 39 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 11- -3 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-501,-11467] |
[a1,a2,a3,a4,a6] |
Generators |
[73:544:1] |
Generators of the group modulo torsion |
j |
-5845851/20992 |
j-invariant |
L |
2.6290513473201 |
L(r)(E,1)/r! |
Ω |
0.46266192288589 |
Real period |
R |
2.8412229592531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999694527 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89298bp1 89298bq1 |
Quadratic twists by: -3 -11 |