Atkin-Lehner |
2- 3+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
106800bh |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-240300000000 = -1 · 28 · 33 · 58 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1467,8937] |
[a1,a2,a3,a4,a6] |
Generators |
[1:102:1] |
Generators of the group modulo torsion |
j |
87228416/60075 |
j-invariant |
L |
7.6191413043683 |
L(r)(E,1)/r! |
Ω |
0.62434008878773 |
Real period |
R |
3.0508777953558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065409 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26700j1 21360m1 |
Quadratic twists by: -4 5 |