Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
44200n |
Isogeny class |
Conductor |
44200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
433920 |
Modular degree for the optimal curve |
Δ |
9392500000000 = 28 · 510 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3 5+ 2 -2 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-527500,147462500] |
[a1,a2,a3,a4,a6] |
Generators |
[10488:29206:27] |
Generators of the group modulo torsion |
j |
6493085107200/3757 |
j-invariant |
L |
11.349670691958 |
L(r)(E,1)/r! |
Ω |
0.59970736656689 |
Real period |
R |
4.7313370339826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88400g1 44200k1 |
Quadratic twists by: -4 5 |