Atkin-Lehner |
2- 3+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240bl |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
317162496000000 = 216 · 3 · 56 · 74 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 -6 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-100576,12280576] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:4704:1] |
Generators of the group modulo torsion |
j |
27469525665643489/77432250000 |
j-invariant |
L |
4.0953830475954 |
L(r)(E,1)/r! |
Ω |
0.54525675094513 |
Real period |
R |
1.8777314722694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001776 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030v1 |
Quadratic twists by: -4 |