Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105350cj |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1282176 |
Modular degree for the optimal curve |
Δ |
-47447014480468750 = -1 · 2 · 59 · 710 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 6 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,88787,2485167] |
[a1,a2,a3,a4,a6] |
Generators |
[9070618684:410826017571:143877824] |
Generators of the group modulo torsion |
j |
17537639/10750 |
j-invariant |
L |
8.1050813878701 |
L(r)(E,1)/r! |
Ω |
0.22071457543082 |
Real period |
R |
18.361001717942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999883404 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21070g1 105350by1 |
Quadratic twists by: 5 -7 |