Atkin-Lehner |
2+ 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630t |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
1835613696000 = 212 · 3 · 53 · 72 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3112,-16064] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:184:1] |
Generators of the group modulo torsion |
j |
68055688684249/37461504000 |
j-invariant |
L |
4.5790048086621 |
L(r)(E,1)/r! |
Ω |
0.68370463751315 |
Real period |
R |
1.1162239163502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999818 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890fj2 42630bf2 |
Quadratic twists by: -3 -7 |