Atkin-Lehner |
5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
41905b |
Isogeny class |
Conductor |
41905 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
509184 |
Modular degree for the optimal curve |
Δ |
-53735131537703125 = -1 · 56 · 179 · 29 |
Discriminant |
Eigenvalues |
-1 2 5+ 1 0 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-945036,353388914] |
[a1,a2,a3,a4,a6] |
j |
-787097452337/453125 |
j-invariant |
L |
1.4005629104607 |
L(r)(E,1)/r! |
Ω |
0.35014072760503 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41905e1 |
Quadratic twists by: 17 |