Atkin-Lehner |
2+ 3- 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
42210g |
Isogeny class |
Conductor |
42210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4581473400 = 23 · 36 · 52 · 7 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2625,52325] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:195:1] |
Generators of the group modulo torsion |
j |
2744588042001/6284600 |
j-invariant |
L |
4.2665259767003 |
L(r)(E,1)/r! |
Ω |
1.378613279678 |
Real period |
R |
1.5473976783747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4690e2 |
Quadratic twists by: -3 |