Atkin-Lehner |
2+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
71050z |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-190049347527200 = -1 · 25 · 52 · 710 · 292 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- -3 0 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1118,662836] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:734:1] |
Generators of the group modulo torsion |
j |
52517295/64615712 |
j-invariant |
L |
2.3467064154215 |
L(r)(E,1)/r! |
Ω |
0.44366274038367 |
Real period |
R |
1.3223481493269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71050cn1 10150c1 |
Quadratic twists by: 5 -7 |