Atkin-Lehner |
2- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
7120n |
Isogeny class |
Conductor |
7120 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-36454400000 = -1 · 217 · 55 · 89 |
Discriminant |
Eigenvalues |
2- 1 5- 2 3 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,160,-9100] |
[a1,a2,a3,a4,a6] |
Generators |
[20:50:1] |
Generators of the group modulo torsion |
j |
109902239/8900000 |
j-invariant |
L |
5.28412236647 |
L(r)(E,1)/r! |
Ω |
0.55055235442802 |
Real period |
R |
0.95978562692003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
890g1 28480z1 64080y1 35600s1 |
Quadratic twists by: -4 8 -3 5 |