Atkin-Lehner |
2- 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550bm |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
866250000 = 24 · 32 · 57 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1838,29531] |
[a1,a2,a3,a4,a6] |
j |
43949604889/55440 |
j-invariant |
L |
3.1525989293593 |
L(r)(E,1)/r! |
Ω |
1.5762994646797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92400ho1 34650v1 2310h1 80850gg1 |
Quadratic twists by: -4 -3 5 -7 |