Atkin-Lehner |
2- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
3280i |
Isogeny class |
Conductor |
3280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
4198400 = 212 · 52 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -6 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-336,2260] |
[a1,a2,a3,a4,a6] |
Generators |
[2:40:1] |
Generators of the group modulo torsion |
j |
1027243729/1025 |
j-invariant |
L |
1.9840364673811 |
L(r)(E,1)/r! |
Ω |
2.4516899539381 |
Real period |
R |
0.40462629954373 |
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 |
205b1 13120bm1 29520bz1 16400u1 |
Quadratic twists by: -4 8 -3 5 |