Atkin-Lehner |
2- 5+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75440r |
Isogeny class |
Conductor |
75440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-309002240 = -1 · 216 · 5 · 23 · 41 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 0 5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,880] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:32:1] |
Generators of the group modulo torsion |
j |
-4826809/75440 |
j-invariant |
L |
4.0781347878887 |
L(r)(E,1)/r! |
Ω |
1.4552750616679 |
Real period |
R |
0.70057800321587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9430a1 |
Quadratic twists by: -4 |