Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568ck |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
4 |
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 |
[-313372693587916540430996:22640397567069898732845:821106030648370347712] |
Generators of the group modulo torsion |
j |
61604313088/621 |
j-invariant |
L |
6.0840437975565 |
L(r)(E,1)/r! |
Ω |
0.18550414536775 |
Real period |
R |
32.797346900042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999984442 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568bd1 25392q1 4416q1 |
Quadratic twists by: -4 8 -23 |