Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75240bn |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
609444000000 = 28 · 36 · 56 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2127,-3854] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:90:1] |
Generators of the group modulo torsion |
j |
5702413264/3265625 |
j-invariant |
L |
7.5711597344564 |
L(r)(E,1)/r! |
Ω |
0.76232659813183 |
Real period |
R |
0.82763736602299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002287 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8360a1 |
Quadratic twists by: -3 |