Atkin-Lehner |
5+ 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
93275a |
Isogeny class |
Conductor |
93275 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
-9852171875 = -1 · 56 · 7 · 133 · 41 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 0 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,517,1368] |
[a1,a2,a3,a4,a6] |
Generators |
[68:588:1] |
Generators of the group modulo torsion |
j |
976191488/630539 |
j-invariant |
L |
3.5358510911264 |
L(r)(E,1)/r! |
Ω |
0.80546016175038 |
Real period |
R |
4.3898522352911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989494 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3731d1 |
Quadratic twists by: 5 |