Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568bd |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
94136613958656 = 210 · 33 · 237 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-438717,111700035] |
[a1,a2,a3,a4,a6] |
Generators |
[-4710:103155:8] |
Generators of the group modulo torsion |
j |
61604313088/621 |
j-invariant |
L |
11.90500327983 |
L(r)(E,1)/r! |
Ω |
0.54361353849749 |
Real period |
R |
3.6499591536062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568ck1 12696o1 4416n1 |
Quadratic twists by: -4 8 -23 |