Atkin-Lehner |
2+ 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
10608a |
Isogeny class |
Conductor |
10608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
137822155630848 = 28 · 38 · 136 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 2 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40108,3053056] |
[a1,a2,a3,a4,a6] |
j |
27873248949250000/538367795433 |
j-invariant |
L |
1.1654222732031 |
L(r)(E,1)/r! |
Ω |
0.58271113660154 |
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 |
5304d1 42432cm1 31824c1 |
Quadratic twists by: -4 8 -3 |