Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42050b |
Isogeny class |
Conductor |
42050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
1682000000000000 = 213 · 512 · 292 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 -2 0 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-59042,5172116] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:2418:1] |
Generators of the group modulo torsion |
j |
1732187934441/128000000 |
j-invariant |
L |
3.618214419881 |
L(r)(E,1)/r! |
Ω |
0.4630392686529 |
Real period |
R |
3.9070276160377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8410l1 42050y1 |
Quadratic twists by: 5 29 |