Atkin-Lehner |
2+ 3- 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
77550o |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-2241924454687500 = -1 · 22 · 310 · 58 · 11 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23876,2682398] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:-1979:1] [-163:1581:1] |
Generators of the group modulo torsion |
j |
-96330152758321/143483165100 |
j-invariant |
L |
9.0820041630577 |
L(r)(E,1)/r! |
Ω |
0.41497541241314 |
Real period |
R |
0.54714110109701 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15510l2 |
Quadratic twists by: 5 |