Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568bw |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
23094849291190272 = 215 · 32 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -2 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-186913,30294145] |
[a1,a2,a3,a4,a6] |
Generators |
[629:12696:1] |
Generators of the group modulo torsion |
j |
148877000/4761 |
j-invariant |
L |
5.2828246386132 |
L(r)(E,1)/r! |
Ω |
0.3780922096662 |
Real period |
R |
1.7465397573921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055794 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568dd2 50784h2 4416t2 |
Quadratic twists by: -4 8 -23 |