Atkin-Lehner |
2- 3+ 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
29370y |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
62029440000 = 210 · 32 · 54 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2950,59267] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:291:1] [17:-129:1] |
Generators of the group modulo torsion |
j |
2839219448104801/62029440000 |
j-invariant |
L |
9.8193297591682 |
L(r)(E,1)/r! |
Ω |
1.1061924880386 |
Real period |
R |
0.22191729435305 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88110t1 |
Quadratic twists by: -3 |