Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
120600ck |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
142848 |
Modular degree for the optimal curve |
Δ |
-2192562270000 = -1 · 24 · 36 · 54 · 673 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 4 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8550,312525] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:603:1] |
Generators of the group modulo torsion |
j |
-9481881600/300763 |
j-invariant |
L |
8.5815206515831 |
L(r)(E,1)/r! |
Ω |
0.81881637699118 |
Real period |
R |
0.29112213613705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13400i1 120600m1 |
Quadratic twists by: -3 5 |