Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550d |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-127157942871093750 = -1 · 2 · 3 · 512 · 72 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-605775,-182536125] |
[a1,a2,a3,a4,a6] |
Generators |
[1816705:-53069290:1331] |
Generators of the group modulo torsion |
j |
-1573398910560073969/8138108343750 |
j-invariant |
L |
2.8316716594465 |
L(r)(E,1)/r! |
Ω |
0.085537645126604 |
Real period |
R |
8.2760977790988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400hk4 34650dd4 2310u4 80850cc4 |
Quadratic twists by: -4 -3 5 -7 |