Atkin-Lehner |
2+ 3+ 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
56550c |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
758160 |
Modular degree for the optimal curve |
Δ |
-6078866227200 = -1 · 215 · 39 · 52 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -5 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1609790,-786814860] |
[a1,a2,a3,a4,a6] |
j |
-18454054577038909003345/243154649088 |
j-invariant |
L |
0.067015799242427 |
L(r)(E,1)/r! |
Ω |
0.06701580168115 |
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 |
56550ch1 |
Quadratic twists by: 5 |