Atkin-Lehner |
2+ 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55104o |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-18282184704 = -1 · 218 · 35 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 2 -5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-449,7617] |
[a1,a2,a3,a4,a6] |
j |
-38272753/69741 |
j-invariant |
L |
2.1893195054726 |
L(r)(E,1)/r! |
Ω |
1.0946597530914 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55104cw1 861d1 |
Quadratic twists by: -4 8 |