Atkin-Lehner |
3+ 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44175b |
Isogeny class |
Conductor |
44175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-86279296875 = -1 · 3 · 511 · 19 · 31 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -2 1 -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2908,-61032] |
[a1,a2,a3,a4,a6] |
Generators |
[72:312:1] |
Generators of the group modulo torsion |
j |
-174115016704/5521875 |
j-invariant |
L |
1.3151187046529 |
L(r)(E,1)/r! |
Ω |
0.32445033621679 |
Real period |
R |
1.0133436136843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8835h1 |
Quadratic twists by: 5 |