Atkin-Lehner |
2+ 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
55104j |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-210786313327607808 = -1 · 219 · 35 · 79 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 1 4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-210945,43412481] |
[a1,a2,a3,a4,a6] |
j |
-3959985141923329/804085973082 |
j-invariant |
L |
0.60580860968609 |
L(r)(E,1)/r! |
Ω |
0.30290430538981 |
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 |
55104dl1 1722p1 |
Quadratic twists by: -4 8 |