Atkin-Lehner |
2- 3+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76752bl |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
71424 |
Modular degree for the optimal curve |
Δ |
622612224 = 28 · 33 · 133 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 3 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1719,-27406] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:39:8] |
Generators of the group modulo torsion |
j |
81273247344/90077 |
j-invariant |
L |
6.0417257317988 |
L(r)(E,1)/r! |
Ω |
0.74149714995902 |
Real period |
R |
1.3580015622563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005762 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19188i1 76752bn2 |
Quadratic twists by: -4 -3 |