Atkin-Lehner |
3- 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
38775s |
Isogeny class |
Conductor |
38775 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
59520 |
Modular degree for the optimal curve |
Δ |
2529124772625 = 35 · 53 · 116 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3408,-3393] |
[a1,a2,a3,a4,a6] |
Generators |
[63:150:1] |
Generators of the group modulo torsion |
j |
35020345145813/20232998181 |
j-invariant |
L |
4.0956363206699 |
L(r)(E,1)/r! |
Ω |
0.68275237223237 |
Real period |
R |
0.39991427709776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116325bd1 38775i1 |
Quadratic twists by: -3 5 |