Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090u |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
492576267658762350 = 2 · 310 · 52 · 72 · 237 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-223514,-22691338] |
[a1,a2,a3,a4,a6] |
Generators |
[-324:4129:1] |
Generators of the group modulo torsion |
j |
8341959848041/3327411150 |
j-invariant |
L |
4.6355294409051 |
L(r)(E,1)/r! |
Ω |
0.22726203447181 |
Real period |
R |
0.50993222840414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830p2 |
Quadratic twists by: -23 |