Atkin-Lehner |
2- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
1720a |
Isogeny class |
Conductor |
1720 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
224 |
Modular degree for the optimal curve |
Δ |
-440320 = -1 · 211 · 5 · 43 |
Discriminant |
Eigenvalues |
2- -2 5- 3 -2 -1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,-32] |
[a1,a2,a3,a4,a6] |
Generators |
[3:2:1] |
Generators of the group modulo torsion |
j |
-2/215 |
j-invariant |
L |
2.3515589987907 |
L(r)(E,1)/r! |
Ω |
1.3589317484026 |
Real period |
R |
1.7304467288773 |
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 |
3440a1 13760d1 15480c1 8600b1 |
Quadratic twists by: -4 8 -3 5 |