Atkin-Lehner |
2- 7+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
75166k |
Isogeny class |
Conductor |
75166 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
40512 |
Modular degree for the optimal curve |
Δ |
-95761484 = -1 · 22 · 74 · 132 · 59 |
Discriminant |
Eigenvalues |
2- 0 3 7+ 6 13+ 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-426,-3307] |
[a1,a2,a3,a4,a6] |
j |
-3553073937/39884 |
j-invariant |
L |
6.3021340208104 |
L(r)(E,1)/r! |
Ω |
0.52517783472137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75166t1 |
Quadratic twists by: -7 |