Atkin-Lehner |
2- 3+ 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
10302d |
Isogeny class |
Conductor |
10302 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
16238074212 = 22 · 34 · 173 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8358,290559] |
[a1,a2,a3,a4,a6] |
j |
64570486734006625/16238074212 |
j-invariant |
L |
2.4151923087567 |
L(r)(E,1)/r! |
Ω |
1.2075961543784 |
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 |
82416j1 30906h1 |
Quadratic twists by: -4 -3 |