Atkin-Lehner |
2- 3+ 7- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
81774bm |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-9929162628 = -1 · 22 · 33 · 74 · 11 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11+ 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,523,-1455] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-106:1] |
Generators of the group modulo torsion |
j |
587006991117/367746764 |
j-invariant |
L |
6.8772715651016 |
L(r)(E,1)/r! |
Ω |
0.74246809921888 |
Real period |
R |
1.1578395705479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000573 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774h2 |
Quadratic twists by: -3 |