Atkin-Lehner |
2+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
90160bi |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-64969307270000 = -1 · 24 · 54 · 710 · 23 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -2 1 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160540,-24708025] |
[a1,a2,a3,a4,a6] |
j |
-243090490825984/34514375 |
j-invariant |
L |
0.95402512661655 |
L(r)(E,1)/r! |
Ω |
0.11925313903089 |
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 |
45080k1 12880e1 |
Quadratic twists by: -4 -7 |