Atkin-Lehner |
2+ 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144l |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-393755738112 = -1 · 214 · 310 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-753,31473] |
[a1,a2,a3,a4,a6] |
j |
-2885794000/24032943 |
j-invariant |
L |
1.6256389862969 |
L(r)(E,1)/r! |
Ω |
0.81281948565113 |
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 |
78144co1 9768i1 |
Quadratic twists by: -4 8 |