Atkin-Lehner |
2- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9520h |
Isogeny class |
Conductor |
9520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-55607800574771200 = -1 · 240 · 52 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70523,-13441878] |
[a1,a2,a3,a4,a6] |
j |
-9470133471933009/13576123187200 |
j-invariant |
L |
2.2282677185378 |
L(r)(E,1)/r! |
Ω |
0.13926673240861 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1190d1 38080br1 85680fq1 47600n1 |
Quadratic twists by: -4 8 -3 5 |