Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568bw |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-1129639367503872 = -1 · 212 · 34 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -2 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3527,1613881] |
[a1,a2,a3,a4,a6] |
Generators |
[55:1404:1] |
Generators of the group modulo torsion |
j |
8000/1863 |
j-invariant |
L |
5.2828246386132 |
L(r)(E,1)/r! |
Ω |
0.3780922096662 |
Real period |
R |
3.4930795147842 |
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 |
101568dd1 50784h1 4416t1 |
Quadratic twists by: -4 8 -23 |