Atkin-Lehner |
2+ 3- 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
47430j |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3891366556020 = 22 · 36 · 5 · 172 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-277620,56371436] |
[a1,a2,a3,a4,a6] |
Generators |
[307:-77:1] |
Generators of the group modulo torsion |
j |
3246005963775014721/5337951380 |
j-invariant |
L |
2.7614193227128 |
L(r)(E,1)/r! |
Ω |
0.66952023458206 |
Real period |
R |
1.0311186951737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000051 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5270e3 |
Quadratic twists by: -3 |