Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40800bx |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
394240 |
Modular degree for the optimal curve |
Δ |
-22832553375000000 = -1 · 26 · 37 · 59 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 6 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,67042,2888088] |
[a1,a2,a3,a4,a6] |
j |
266592609856/182660427 |
j-invariant |
L |
3.3602442942108 |
L(r)(E,1)/r! |
Ω |
0.24001744958386 |
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 |
40800bl1 81600hc1 122400bw1 40800q1 |
Quadratic twists by: -4 8 -3 5 |