Atkin-Lehner |
2- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10208d |
Isogeny class |
Conductor |
10208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2176 |
Modular degree for the optimal curve |
Δ |
-37892096 = -1 · 212 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 1 -3 2 11- 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,83,91] |
[a1,a2,a3,a4,a6] |
Generators |
[6:29:1] |
Generators of the group modulo torsion |
j |
15252992/9251 |
j-invariant |
L |
4.5621760930249 |
L(r)(E,1)/r! |
Ω |
1.2607300392672 |
Real period |
R |
0.90466950713665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10208b1 20416f1 91872h1 112288d1 |
Quadratic twists by: -4 8 -3 -11 |