Atkin-Lehner |
2+ 3- 7+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
66402a |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-1003596640704 = -1 · 26 · 36 · 74 · 172 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,504,-48128] |
[a1,a2,a3,a4,a6] |
j |
19400056703/1376675776 |
j-invariant |
L |
1.6733398844742 |
L(r)(E,1)/r! |
Ω |
0.41833497025778 |
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 |
7378o1 |
Quadratic twists by: -3 |