Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
41328cn |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1672704 |
Modular degree for the optimal curve |
Δ |
-5.2263782842461E+20 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -1 0 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,709773,-1075563470] |
[a1,a2,a3,a4,a6] |
Generators |
[1737:73472:1] |
Generators of the group modulo torsion |
j |
13243252505373071/175030351276032 |
j-invariant |
L |
3.9694145088862 |
L(r)(E,1)/r! |
Ω |
0.080817616385111 |
Real period |
R |
2.0464878649145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5166o1 13776v1 |
Quadratic twists by: -4 -3 |