Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160dg |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
96768000 = 212 · 33 · 53 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -2 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3492,79424] |
[a1,a2,a3,a4,a6] |
Generators |
[28:60:1] |
Generators of the group modulo torsion |
j |
42581671488/875 |
j-invariant |
L |
5.0333991815926 |
L(r)(E,1)/r! |
Ω |
1.7495887792974 |
Real period |
R |
0.47948402134566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160dl1 10080bd1 20160cu1 100800jy1 |
Quadratic twists by: -4 8 -3 5 |