Atkin-Lehner |
2+ 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850cx |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4140466972101504000 = 210 · 38 · 53 · 118 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5611302,5116619956] |
[a1,a2,a3,a4,a6] |
Generators |
[1724:-24622:1] |
Generators of the group modulo torsion |
j |
214425851544602418869/45437223287808 |
j-invariant |
L |
4.3552825130371 |
L(r)(E,1)/r! |
Ω |
0.23990978843536 |
Real period |
R |
0.56730730630092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000198374 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37950cf2 113850fx2 |
Quadratic twists by: -3 5 |