Atkin-Lehner |
2- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
85918bt |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
102 |
Product of Tamagawa factors cp |
deg |
4553280 |
Modular degree for the optimal curve |
Δ |
-6.7714547737273E+20 |
Discriminant |
Eigenvalues |
2- -2 3 7- 2 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2062809,1693302457] |
[a1,a2,a3,a4,a6] |
Generators |
[474:28435:1] |
Generators of the group modulo torsion |
j |
-2689017174647026477417/1875749244799811584 |
j-invariant |
L |
10.042454337997 |
L(r)(E,1)/r! |
Ω |
0.14867261084764 |
Real period |
R |
0.66222980975611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999886925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85918r1 |
Quadratic twists by: -19 |