Atkin-Lehner |
2- 3+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240bg |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-182404261875548160 = -1 · 218 · 36 · 5 · 74 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,76064,18870016] |
[a1,a2,a3,a4,a6] |
j |
11882163791971871/44532290496960 |
j-invariant |
L |
0.91048300622729 |
L(r)(E,1)/r! |
Ω |
0.22762074715201 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030w1 |
Quadratic twists by: -4 |