Atkin-Lehner |
2+ 5+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
88880c |
Isogeny class |
Conductor |
88880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-139033917440 = -1 · 211 · 5 · 113 · 1012 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 11- -4 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3576,83060] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:404:1] [10:220:1] |
Generators of the group modulo torsion |
j |
-2470061300978/67887655 |
j-invariant |
L |
12.237230638432 |
L(r)(E,1)/r! |
Ω |
1.0321775503677 |
Real period |
R |
0.49398924609442 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998612 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44440a1 |
Quadratic twists by: -4 |