Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5280t |
Isogeny class |
Conductor |
5280 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-8019000000 = -1 · 26 · 36 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1110,14508] |
[a1,a2,a3,a4,a6] |
Generators |
[6:90:1] |
Generators of the group modulo torsion |
j |
-2365396076224/125296875 |
j-invariant |
L |
4.4715322452946 |
L(r)(E,1)/r! |
Ω |
1.2970272985158 |
Real period |
R |
0.19152908990905 |
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 |
5280d1 10560c2 15840g1 26400k1 |
Quadratic twists by: -4 8 -3 5 |