Atkin-Lehner |
2- 3- 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
71910bc |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
11139757875000 = 23 · 38 · 56 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16853,830837] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:1138:1] |
Generators of the group modulo torsion |
j |
726112121784841/15280875000 |
j-invariant |
L |
8.464997845967 |
L(r)(E,1)/r! |
Ω |
0.71802128489327 |
Real period |
R |
0.98244509160126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002202 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970i2 |
Quadratic twists by: -3 |