Atkin-Lehner |
2+ 3+ 11+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
105534b |
Isogeny class |
Conductor |
105534 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
743532330258432 = 212 · 39 · 113 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11+ 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23208,367424] |
[a1,a2,a3,a4,a6] |
j |
70235405336979/37775355904 |
j-invariant |
L |
0.8846464481431 |
L(r)(E,1)/r! |
Ω |
0.44232302996531 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105534z1 |
Quadratic twists by: -3 |