Atkin-Lehner |
2- 7+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
53144c |
Isogeny class |
Conductor |
53144 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
195360 |
Modular degree for the optimal curve |
Δ |
-147901219730992 = -1 · 24 · 73 · 13 · 735 |
Discriminant |
Eigenvalues |
2- 0 4 7+ -3 13- 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10462,-415595] |
[a1,a2,a3,a4,a6] |
j |
7914944547956736/9243826233187 |
j-invariant |
L |
3.1140611340872 |
L(r)(E,1)/r! |
Ω |
0.31140611350298 |
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 |
106288d1 |
Quadratic twists by: -4 |