Atkin-Lehner |
2+ 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66470h |
Isogeny class |
Conductor |
66470 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
8640000 |
Modular degree for the optimal curve |
Δ |
-4.1698616237497E+22 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 -2 3 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-86215979,308305149285] |
[a1,a2,a3,a4,a6] |
j |
-2936253036372507983529/1727540011900000 |
j-invariant |
L |
2.2624545630737 |
L(r)(E,1)/r! |
Ω |
0.1131227281266 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910c1 |
Quadratic twists by: 17 |