Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88800n |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1078272 |
Modular degree for the optimal curve |
Δ |
-319040959680000000 = -1 · 212 · 39 · 57 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 -3 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-457533,-122332437] |
[a1,a2,a3,a4,a6] |
j |
-165505319755264/4985014995 |
j-invariant |
L |
3.2983448747724 |
L(r)(E,1)/r! |
Ω |
0.091620691888736 |
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 |
88800bc1 17760t1 |
Quadratic twists by: -4 5 |