Atkin-Lehner |
2- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66470t |
Isogeny class |
Conductor |
66470 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
116640 |
Modular degree for the optimal curve |
Δ |
-1573669273600 = -1 · 215 · 52 · 174 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 3 -4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2884,-9200] |
[a1,a2,a3,a4,a6] |
Generators |
[8:116:1] |
Generators of the group modulo torsion |
j |
31761747071/18841600 |
j-invariant |
L |
5.9242980151329 |
L(r)(E,1)/r! |
Ω |
0.49466281554798 |
Real period |
R |
1.1976436936035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000205 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
66470x1 |
Quadratic twists by: 17 |