Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630cz |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-16850207729722500 = -1 · 22 · 34 · 54 · 76 · 294 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,63209,-1256179] |
[a1,a2,a3,a4,a6] |
Generators |
[230:-5161:1] |
Generators of the group modulo torsion |
j |
237395127814559/143224402500 |
j-invariant |
L |
10.58781813265 |
L(r)(E,1)/r! |
Ω |
0.22691952636702 |
Real period |
R |
1.4580909890951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890cl3 870g4 |
Quadratic twists by: -3 -7 |