Atkin-Lehner |
2- 7+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
15554d |
Isogeny class |
Conductor |
15554 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
210672 |
Modular degree for the optimal curve |
Δ |
-179277271416288584 = -1 · 23 · 711 · 11 · 1013 |
Discriminant |
Eigenvalues |
2- 0 -1 7+ 11+ -4 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-397128,98555795] |
[a1,a2,a3,a4,a6] |
j |
-6926505967539262372689/179277271416288584 |
j-invariant |
L |
0.95932665135543 |
L(r)(E,1)/r! |
Ω |
0.31977555045181 |
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 |
124432o1 108878l1 |
Quadratic twists by: -4 -7 |