Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
90160dj |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-302891727042800 = -1 · 24 · 52 · 76 · 235 |
Discriminant |
Eigenvalues |
2- 3 5- 7- 0 3 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3577,841379] |
[a1,a2,a3,a4,a6] |
Generators |
[-1050:25921:27] |
Generators of the group modulo torsion |
j |
-2688885504/160908575 |
j-invariant |
L |
13.928321115467 |
L(r)(E,1)/r! |
Ω |
0.4511034011584 |
Real period |
R |
1.5438058199641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22540q1 1840h1 |
Quadratic twists by: -4 -7 |