Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
21780t |
Isogeny class |
Conductor |
21780 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-112907520 = -1 · 28 · 36 · 5 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33,-506] |
[a1,a2,a3,a4,a6] |
Generators |
[15:58:1] |
Generators of the group modulo torsion |
j |
176/5 |
j-invariant |
L |
5.7017567129642 |
L(r)(E,1)/r! |
Ω |
0.90461671696552 |
Real period |
R |
2.1009843565167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87120ft1 2420c1 108900bt1 21780u1 |
Quadratic twists by: -4 -3 5 -11 |