Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568cm |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-127305445242175488 = -1 · 217 · 38 · 236 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,33151,-17019615] |
[a1,a2,a3,a4,a6] |
Generators |
[17647775:-597023784:15625] |
Generators of the group modulo torsion |
j |
207646/6561 |
j-invariant |
L |
3.4066484959457 |
L(r)(E,1)/r! |
Ω |
0.158980442773 |
Real period |
R |
10.714049007035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999585688 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568bg5 25392g5 192d6 |
Quadratic twists by: -4 8 -23 |