Atkin-Lehner |
3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
72075h |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-253388671875 = -1 · 33 · 510 · 312 |
Discriminant |
Eigenvalues |
1 3+ 5+ 5 2 6 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2825,61500] |
[a1,a2,a3,a4,a6] |
j |
-265825/27 |
j-invariant |
L |
3.8406051661267 |
L(r)(E,1)/r! |
Ω |
0.96015129088517 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72075bm1 72075x1 |
Quadratic twists by: 5 -31 |