Atkin-Lehner |
2+ 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
40200q |
Isogeny class |
Conductor |
40200 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
154560 |
Modular degree for the optimal curve |
Δ |
117223200000000 = 211 · 37 · 58 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-91208,10559088] |
[a1,a2,a3,a4,a6] |
j |
104890772690/146529 |
j-invariant |
L |
4.1261098488845 |
L(r)(E,1)/r! |
Ω |
0.58944426413243 |
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 |
80400o1 120600cj1 40200t1 |
Quadratic twists by: -4 -3 5 |