Atkin-Lehner |
3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
126075t |
Isogeny class |
Conductor |
126075 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-131459134869675 = -1 · 33 · 52 · 417 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 3 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,11207,-305771] |
[a1,a2,a3,a4,a6] |
j |
1310720/1107 |
j-invariant |
L |
3.8751066233191 |
L(r)(E,1)/r! |
Ω |
0.32292567547166 |
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 |
126075o1 3075b1 |
Quadratic twists by: 5 41 |