Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55104bk |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-6094061568 = -1 · 218 · 34 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,191,-3553] |
[a1,a2,a3,a4,a6] |
Generators |
[13:36:1] |
Generators of the group modulo torsion |
j |
2924207/23247 |
j-invariant |
L |
6.812531740898 |
L(r)(E,1)/r! |
Ω |
0.66679144170914 |
Real period |
R |
2.5542213482179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55104bt1 861a1 |
Quadratic twists by: -4 8 |