Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
41328cm |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-207492777181863936 = -1 · 213 · 37 · 710 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -4 1 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18219,21936346] |
[a1,a2,a3,a4,a6] |
Generators |
[845:-24696:1] |
Generators of the group modulo torsion |
j |
-223980311017/69488911254 |
j-invariant |
L |
3.9905447615398 |
L(r)(E,1)/r! |
Ω |
0.25744819516859 |
Real period |
R |
0.1937547454415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5166be1 13776t1 |
Quadratic twists by: -4 -3 |