Atkin-Lehner |
3- 11+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10659i |
Isogeny class |
Conductor |
10659 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9408 |
Modular degree for the optimal curve |
Δ |
-31977 = -1 · 32 · 11 · 17 · 19 |
Discriminant |
Eigenvalues |
1 3- 4 0 11+ -1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7794,264169] |
[a1,a2,a3,a4,a6] |
j |
-52350979780066969/31977 |
j-invariant |
L |
4.5487593163668 |
L(r)(E,1)/r! |
Ω |
2.2743796581834 |
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 |
31977t1 117249q1 |
Quadratic twists by: -3 -11 |