Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568cs |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
847872 |
Modular degree for the optimal curve |
Δ |
49798268784129024 = 210 · 33 · 239 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-421789,105029149] |
[a1,a2,a3,a4,a6] |
Generators |
[50605:84744:125] |
Generators of the group modulo torsion |
j |
4499456/27 |
j-invariant |
L |
2.8674728658644 |
L(r)(E,1)/r! |
Ω |
0.35848950953035 |
Real period |
R |
7.9987637086975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999549581 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568bk1 25392l1 101568cj1 |
Quadratic twists by: -4 8 -23 |