Atkin-Lehner |
2+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21070a |
Isogeny class |
Conductor |
21070 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-16518880 = -1 · 25 · 5 · 74 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -2 5 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,40,160] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:4:1] |
Generators of the group modulo torsion |
j |
2906631/6880 |
j-invariant |
L |
3.2892533608975 |
L(r)(E,1)/r! |
Ω |
1.5318551567332 |
Real period |
R |
2.1472352307199 |
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 |
105350bz1 21070i1 |
Quadratic twists by: 5 -7 |