Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55200ca |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-97785144000000000 = -1 · 212 · 312 · 59 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 4 4 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2192333,1250240037] |
[a1,a2,a3,a4,a6] |
j |
-145664420880896/12223143 |
j-invariant |
L |
2.5739285513733 |
L(r)(E,1)/r! |
Ω |
0.32174106880734 |
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 |
55200cp1 110400jl1 55200bf1 |
Quadratic twists by: -4 8 5 |