Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75240bo |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-351873463392000 = -1 · 28 · 314 · 53 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3567,906226] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:990:1] |
Generators of the group modulo torsion |
j |
-26894628304/1885467375 |
j-invariant |
L |
9.0292350775084 |
L(r)(E,1)/r! |
Ω |
0.44460632727228 |
Real period |
R |
0.8461825780282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000282 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080g1 |
Quadratic twists by: -3 |