Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
59976h |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-11851566043613184 = -1 · 211 · 310 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -2 0 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,42189,-4038482] |
[a1,a2,a3,a4,a6] |
j |
964894/1377 |
j-invariant |
L |
3.8404675097628 |
L(r)(E,1)/r! |
Ω |
0.21335930616579 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119952n1 19992y1 59976v1 |
Quadratic twists by: -4 -3 -7 |