Atkin-Lehner |
2- 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240cw |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
16181760000 = 212 · 3 · 54 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2240,-41100] |
[a1,a2,a3,a4,a6] |
Generators |
[60:210:1] |
Generators of the group modulo torsion |
j |
303599943361/3950625 |
j-invariant |
L |
8.886745234579 |
L(r)(E,1)/r! |
Ω |
0.69448568870149 |
Real period |
R |
1.5995191440997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994693 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4515e1 |
Quadratic twists by: -4 |