Atkin-Lehner |
2- 3- 5+ 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
100890s |
Isogeny class |
Conductor |
100890 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
7375311225000000 = 26 · 36 · 58 · 193 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-60878,4059037] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:2371:1] |
Generators of the group modulo torsion |
j |
34227141059513241/10117025000000 |
j-invariant |
L |
11.730354877133 |
L(r)(E,1)/r! |
Ω |
0.38823308481329 |
Real period |
R |
5.0357870672269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999929233 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11210b1 |
Quadratic twists by: -3 |