Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
107800cf |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
1449435680000 = 28 · 54 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ -1 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24500,1474900] |
[a1,a2,a3,a4,a6] |
Generators |
[105:245:1] [-140:1470:1] |
Generators of the group modulo torsion |
j |
86400000/77 |
j-invariant |
L |
11.056404344956 |
L(r)(E,1)/r! |
Ω |
0.84606442314018 |
Real period |
R |
0.54450169726036 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107800g1 15400v1 |
Quadratic twists by: 5 -7 |