Atkin-Lehner |
2- 5- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
75920p |
Isogeny class |
Conductor |
75920 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
336343334912000 = 224 · 53 · 133 · 73 |
Discriminant |
Eigenvalues |
2- 2 5- -2 0 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6682200,-6646328848] |
[a1,a2,a3,a4,a6] |
Generators |
[688863:109441070:27] |
Generators of the group modulo torsion |
j |
8056051600393270819801/82115072000 |
j-invariant |
L |
9.5734370177736 |
L(r)(E,1)/r! |
Ω |
0.093900884260328 |
Real period |
R |
11.328063974326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000473 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9490f1 |
Quadratic twists by: -4 |