Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610f |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-932412929019840 = -1 · 26 · 39 · 5 · 236 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -6 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36600,3078656] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:2136:1] [-8:1840:1] |
Generators of the group modulo torsion |
j |
-1860867/320 |
j-invariant |
L |
6.1005487198996 |
L(r)(E,1)/r! |
Ω |
0.4780635699985 |
Real period |
R |
3.1902392813148 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47610bm1 90a3 |
Quadratic twists by: -3 -23 |