Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
75690bp |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
306 |
Product of Tamagawa factors cp |
deg |
5679360 |
Modular degree for the optimal curve |
Δ |
-5.3774200265722E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -3 -3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9415678,898257921] |
[a1,a2,a3,a4,a6] |
Generators |
[9041:903759:1] |
Generators of the group modulo torsion |
j |
253143649991/147456000 |
j-invariant |
L |
10.333722042616 |
L(r)(E,1)/r! |
Ω |
0.067624397019408 |
Real period |
R |
0.49938091805736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001769 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25230a1 75690n1 |
Quadratic twists by: -3 29 |