Atkin-Lehner |
3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
126075bc |
Isogeny class |
Conductor |
126075 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-2297716875 = -1 · 37 · 54 · 412 |
Discriminant |
Eigenvalues |
-1 3- 5- 3 -2 3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-363,3492] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:69:1] |
Generators of the group modulo torsion |
j |
-5035825/2187 |
j-invariant |
L |
6.5680486677318 |
L(r)(E,1)/r! |
Ω |
1.3639099634013 |
Real period |
R |
0.22931441787394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000095379 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126075f1 126075q1 |
Quadratic twists by: 5 41 |