Atkin-Lehner |
2+ 3- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
41574j |
Isogeny class |
Conductor |
41574 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
7091942364 = 22 · 39 · 133 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 -5 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-485,-700] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-92:1] [-15:64:1] |
Generators of the group modulo torsion |
j |
5725732069/3228012 |
j-invariant |
L |
5.8400021852335 |
L(r)(E,1)/r! |
Ω |
1.0958739563027 |
Real period |
R |
0.14803005581997 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124722by1 41574u1 |
Quadratic twists by: -3 13 |