Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41328cg |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-2400987850247282688 = -1 · 213 · 311 · 79 · 41 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -1 -4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-474627,146279810] |
[a1,a2,a3,a4,a6] |
Generators |
[1543:-55566:1] [-487:16184:1] |
Generators of the group modulo torsion |
j |
-3959985141923329/804085973082 |
j-invariant |
L |
7.3170064843784 |
L(r)(E,1)/r! |
Ω |
0.24732032969907 |
Real period |
R |
0.20545235845448 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5166l1 13776l1 |
Quadratic twists by: -4 -3 |