Atkin-Lehner |
2+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
3560b |
Isogeny class |
Conductor |
3560 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-911360 = -1 · 211 · 5 · 89 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 1 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24,-20] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
715822/445 |
j-invariant |
L |
2.6081380811119 |
L(r)(E,1)/r! |
Ω |
1.6139687075529 |
Real period |
R |
1.6159780972869 |
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 |
7120b1 28480k1 32040k1 17800h1 |
Quadratic twists by: -4 8 -3 5 |