Atkin-Lehner |
2+ 3+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
93138a |
Isogeny class |
Conductor |
93138 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
11108160 |
Modular degree for the optimal curve |
Δ |
1.1762195462692E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 3 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5980333,5379295645] |
[a1,a2,a3,a4,a6] |
Generators |
[1388339445:8713018270:1225043] |
Generators of the group modulo torsion |
j |
1392743434342969/69256347648 |
j-invariant |
L |
5.7855380705816 |
L(r)(E,1)/r! |
Ω |
0.1521341947432 |
Real period |
R |
12.676392013026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950379 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93138bh1 |
Quadratic twists by: -19 |