Atkin-Lehner |
2- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36260m |
Isogeny class |
Conductor |
36260 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-86622729957344000 = -1 · 28 · 53 · 711 · 372 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -1 -5 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-500845,-136993975] |
[a1,a2,a3,a4,a6] |
j |
-461324374319104/2876097875 |
j-invariant |
L |
1.0763737046829 |
L(r)(E,1)/r! |
Ω |
0.089697808723574 |
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 |
5180a1 |
Quadratic twists by: -7 |