Atkin-Lehner |
5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41405c |
Isogeny class |
Conductor |
41405 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
-587815659518940125 = -1 · 53 · 78 · 138 |
Discriminant |
Eigenvalues |
-1 3 5+ 7+ 0 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,39852,36750172] |
[a1,a2,a3,a4,a6] |
Generators |
[66414:3275039:27] |
Generators of the group modulo torsion |
j |
251559/21125 |
j-invariant |
L |
6.5722913765583 |
L(r)(E,1)/r! |
Ω |
0.22206709275783 |
Real period |
R |
4.9326619378396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41405p1 3185e1 |
Quadratic twists by: -7 13 |