Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28050dl |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
52109273906250000 = 24 · 3 · 510 · 113 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1309438,-576738508] |
[a1,a2,a3,a4,a6] |
Generators |
[-17934:16634:27] |
Generators of the group modulo torsion |
j |
15891267085572193561/3334993530000 |
j-invariant |
L |
10.462161328304 |
L(r)(E,1)/r! |
Ω |
0.1411346944031 |
Real period |
R |
3.0887046627547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150bb1 5610i1 |
Quadratic twists by: -3 5 |