Atkin-Lehner |
7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
75383f |
Isogeny class |
Conductor |
75383 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
4262400 |
Modular degree for the optimal curve |
Δ |
-3.1613775122107E+22 |
Discriminant |
Eigenvalues |
0 2 -1 7- 11- -1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1371091,8577279710] |
[a1,a2,a3,a4,a6] |
Generators |
[24072:-3731459:1] [-1560:83170:1] |
Generators of the group modulo torsion |
j |
-160903969471627264/17845151887012219 |
j-invariant |
L |
12.027490324373 |
L(r)(E,1)/r! |
Ω |
0.096134612998107 |
Real period |
R |
1.5638865583289 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997854 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6853a1 |
Quadratic twists by: -11 |