Atkin-Lehner |
2- 3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44850bs |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-10409628937500 = -1 · 22 · 34 · 56 · 132 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4387,-107283] |
[a1,a2,a3,a4,a6] |
Generators |
[254:1901:8] |
Generators of the group modulo torsion |
j |
597585982967/666216252 |
j-invariant |
L |
11.555478138958 |
L(r)(E,1)/r! |
Ω |
0.38975949213918 |
Real period |
R |
3.7059643100474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1794c1 |
Quadratic twists by: 5 |