Atkin-Lehner |
5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41405a |
Isogeny class |
Conductor |
41405 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-9043317838752925 = -1 · 52 · 78 · 137 |
Discriminant |
Eigenvalues |
1 2 5+ 7+ 5 13+ 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8453,-4588618] |
[a1,a2,a3,a4,a6] |
Generators |
[3038:53411:8] |
Generators of the group modulo torsion |
j |
-2401/325 |
j-invariant |
L |
9.9103563494268 |
L(r)(E,1)/r! |
Ω |
0.18256131554161 |
Real period |
R |
6.7856355000712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41405m1 3185f1 |
Quadratic twists by: -7 13 |