Atkin-Lehner |
2+ 3- 7+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
107226k |
Isogeny class |
Conductor |
107226 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6546412753699916664 = 23 · 318 · 72 · 23 · 374 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-619893,-141745955] |
[a1,a2,a3,a4,a6] |
Generators |
[-285:3565:1] |
Generators of the group modulo torsion |
j |
36136557233395374673/8979990059945016 |
j-invariant |
L |
1.9952844439836 |
L(r)(E,1)/r! |
Ω |
0.17324231056118 |
Real period |
R |
2.8793260699493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000196039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35742i4 |
Quadratic twists by: -3 |