Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
90160dg |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
6082612173209600 = 218 · 52 · 79 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-118400,15186100] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:5440:1] |
Generators of the group modulo torsion |
j |
380920459249/12622400 |
j-invariant |
L |
4.8081165080228 |
L(r)(E,1)/r! |
Ω |
0.42234327003684 |
Real period |
R |
2.8460951390494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928754 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11270p1 12880n1 |
Quadratic twists by: -4 -7 |