Atkin-Lehner |
2- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6880j |
Isogeny class |
Conductor |
6880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1408 |
Modular degree for the optimal curve |
Δ |
-4403200 = -1 · 212 · 52 · 43 |
Discriminant |
Eigenvalues |
2- -2 5- 2 -1 -7 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,35,75] |
[a1,a2,a3,a4,a6] |
Generators |
[5:20:1] |
Generators of the group modulo torsion |
j |
1124864/1075 |
j-invariant |
L |
3.0342184215585 |
L(r)(E,1)/r! |
Ω |
1.6104845228127 |
Real period |
R |
0.47101018025608 |
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 |
6880e1 13760c1 61920m1 34400h1 |
Quadratic twists by: -4 8 -3 5 |