Atkin-Lehner |
2- 13- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
28652d |
Isogeny class |
Conductor |
28652 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
15264 |
Modular degree for the optimal curve |
Δ |
-561693808 = -1 · 24 · 133 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 0 -4 -4 0 13- 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-737,7785] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:29:1] [17:13:1] |
Generators of the group modulo torsion |
j |
-2766981102336/35105863 |
j-invariant |
L |
5.787323608742 |
L(r)(E,1)/r! |
Ω |
1.6443643308526 |
Real period |
R |
0.19552721512561 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114608m1 |
Quadratic twists by: -4 |