Atkin-Lehner |
2+ 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
71232b |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
568287756288 = 216 · 32 · 73 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 2 6 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29057,-1896447] |
[a1,a2,a3,a4,a6] |
Generators |
[5331:4240:27] |
Generators of the group modulo torsion |
j |
41401020657028/8671383 |
j-invariant |
L |
6.0964147871178 |
L(r)(E,1)/r! |
Ω |
0.3656714671734 |
Real period |
R |
4.1679590391473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71232de2 8904h2 |
Quadratic twists by: -4 8 |