Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
73800ck |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-3228012000000 = -1 · 28 · 39 · 56 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 6 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1500,-83500] |
[a1,a2,a3,a4,a6] |
j |
128000/1107 |
j-invariant |
L |
3.1558604686201 |
L(r)(E,1)/r! |
Ω |
0.39448255730483 |
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 |
24600b1 2952c1 |
Quadratic twists by: -3 5 |