Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
21780f |
Isogeny class |
Conductor |
21780 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-6188197920260400 = -1 · 24 · 38 · 52 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15972,3704173] |
[a1,a2,a3,a4,a6] |
Generators |
[119:2700:1] |
Generators of the group modulo torsion |
j |
16384/225 |
j-invariant |
L |
4.0471719308732 |
L(r)(E,1)/r! |
Ω |
0.31427333906411 |
Real period |
R |
3.2194680774747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87120ds1 7260r1 108900bd1 21780e1 |
Quadratic twists by: -4 -3 5 -11 |