Atkin-Lehner |
2+ 3- 5- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
52470m |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-544008960 = -1 · 28 · 36 · 5 · 11 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 11- -3 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,81,-1107] |
[a1,a2,a3,a4,a6] |
j |
80062991/746240 |
j-invariant |
L |
1.6243256525608 |
L(r)(E,1)/r! |
Ω |
0.81216282595089 |
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 |
5830c1 |
Quadratic twists by: -3 |