Atkin-Lehner |
5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41405s |
Isogeny class |
Conductor |
41405 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
753984 |
Modular degree for the optimal curve |
Δ |
-24347394181257875 = -1 · 53 · 79 · 136 |
Discriminant |
Eigenvalues |
2 3 5- 7- -1 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-57967,-9231245] |
[a1,a2,a3,a4,a6] |
Generators |
[3141623751484638:-1210465527666630463:21161991096] |
Generators of the group modulo torsion |
j |
-110592/125 |
j-invariant |
L |
21.013732178101 |
L(r)(E,1)/r! |
Ω |
0.14735576756346 |
Real period |
R |
23.767571193587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41405h1 245b1 |
Quadratic twists by: -7 13 |