Atkin-Lehner |
2+ 3+ 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21714b |
Isogeny class |
Conductor |
21714 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-24086515068 = -1 · 22 · 32 · 76 · 112 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 11+ -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-567,8865] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:127:1] [-9:120:1] |
Generators of the group modulo torsion |
j |
-20214785558521/24086515068 |
j-invariant |
L |
3.9651378665317 |
L(r)(E,1)/r! |
Ω |
1.0845527526427 |
Real period |
R |
0.30466766576288 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65142be1 |
Quadratic twists by: -3 |