Atkin-Lehner |
2+ 3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630bf |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
215958115720704000 = 212 · 3 · 53 · 78 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-152514,5052436] |
[a1,a2,a3,a4,a6] |
j |
68055688684249/37461504000 |
j-invariant |
L |
1.6449683835275 |
L(r)(E,1)/r! |
Ω |
0.27416139725688 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890fp2 42630t2 |
Quadratic twists by: -3 -7 |