Atkin-Lehner |
2- 3- 5- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
40260m |
Isogeny class |
Conductor |
40260 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
37152 |
Modular degree for the optimal curve |
Δ |
-70149024000 = -1 · 28 · 33 · 53 · 113 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-940,-17212] |
[a1,a2,a3,a4,a6] |
j |
-359194138576/274019625 |
j-invariant |
L |
3.7555889106516 |
L(r)(E,1)/r! |
Ω |
0.41728765673804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
120780j1 |
Quadratic twists by: -3 |