Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
44880co |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
2540107468800 = 212 · 33 · 52 · 11 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4016,-62316] |
[a1,a2,a3,a4,a6] |
Generators |
[82:408:1] |
Generators of the group modulo torsion |
j |
1749254553649/620143425 |
j-invariant |
L |
7.5166346643808 |
L(r)(E,1)/r! |
Ω |
0.61726311920328 |
Real period |
R |
0.507389962679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2805a1 |
Quadratic twists by: -4 |