Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
36960v |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-669639284160000 = -1 · 29 · 3 · 54 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16136,-1479336] |
[a1,a2,a3,a4,a6] |
j |
-907545319055432/1307889226875 |
j-invariant |
L |
3.2212428138227 |
L(r)(E,1)/r! |
Ω |
0.2013276758667 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36960c2 73920fu3 110880ds2 |
Quadratic twists by: -4 8 -3 |