Atkin-Lehner |
3+ 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44175a |
Isogeny class |
Conductor |
44175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-6586078359375 = -1 · 35 · 57 · 192 · 312 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 -2 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4275,162000] |
[a1,a2,a3,a4,a6] |
Generators |
[310:1745:8] |
Generators of the group modulo torsion |
j |
-553185473329/421509015 |
j-invariant |
L |
7.1289616464846 |
L(r)(E,1)/r! |
Ω |
0.68964285663335 |
Real period |
R |
2.5842947468763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8835g1 |
Quadratic twists by: 5 |