Atkin-Lehner |
2+ 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810bt |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1532160 |
Modular degree for the optimal curve |
Δ |
-230534545047273180 = -1 · 22 · 36 · 5 · 72 · 199 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-88453,-25229764] |
[a1,a2,a3,a4,a6] |
j |
-237176659/714420 |
j-invariant |
L |
1.5351213748855 |
L(r)(E,1)/r! |
Ω |
0.12792678253311 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75810cm1 |
Quadratic twists by: -19 |