Atkin-Lehner |
2+ 3- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
112554b |
Isogeny class |
Conductor |
112554 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
276760696057260948 = 22 · 318 · 136 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1223676,520702924] |
[a1,a2,a3,a4,a6] |
Generators |
[110:19628:1] [620:-58:1] |
Generators of the group modulo torsion |
j |
57588477431113/78653268 |
j-invariant |
L |
9.6142599054447 |
L(r)(E,1)/r! |
Ω |
0.30850446075206 |
Real period |
R |
7.7910217884766 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003327 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37518k4 666f4 |
Quadratic twists by: -3 13 |