Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960o |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
-3031875000000 = -1 · 26 · 32 · 510 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2406,94500] |
[a1,a2,a3,a4,a6] |
j |
-24077483805376/47373046875 |
j-invariant |
L |
2.8531249275703 |
L(r)(E,1)/r! |
Ω |
0.71328123189672 |
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 |
36960bg1 73920bj2 110880dp1 |
Quadratic twists by: -4 8 -3 |