Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200ia |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-941368944096000 = -1 · 28 · 36 · 53 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 1 -1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2940,1474900] |
[a1,a2,a3,a4,a6] |
Generators |
[105:1715:1] |
Generators of the group modulo torsion |
j |
1024/343 |
j-invariant |
L |
7.2133127324679 |
L(r)(E,1)/r! |
Ω |
0.3850591018597 |
Real period |
R |
1.1708125936931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9800p1 88200dl1 12600cj1 |
Quadratic twists by: -3 5 -7 |