Atkin-Lehner |
2+ 3- 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
71910f |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4278358152402177600 = 26 · 38 · 52 · 174 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-810900,263054736] |
[a1,a2,a3,a4,a6] |
Generators |
[-327:22371:1] |
Generators of the group modulo torsion |
j |
80890661380690094401/5868804049934400 |
j-invariant |
L |
4.2904389895305 |
L(r)(E,1)/r! |
Ω |
0.24100163545147 |
Real period |
R |
2.2253163245966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001243 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23970x3 |
Quadratic twists by: -3 |