Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9120r |
Isogeny class |
Conductor |
9120 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
7695324729000000 = 26 · 310 · 56 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63690,-4544712] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:1140:1] |
Generators of the group modulo torsion |
j |
446441237878458304/120239448890625 |
j-invariant |
L |
5.4229947524405 |
L(r)(E,1)/r! |
Ω |
0.30658043682018 |
Real period |
R |
0.5896217437189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9120d1 18240a2 27360j1 45600f1 |
Quadratic twists by: -4 8 -3 5 |