Atkin-Lehner |
2- 3- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
51888y |
Isogeny class |
Conductor |
51888 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
9135257514541056 = 217 · 33 · 232 · 474 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 2 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56792,-2466540] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:1410:1] |
Generators of the group modulo torsion |
j |
4945758439372633/2230287479136 |
j-invariant |
L |
9.0929514487346 |
L(r)(E,1)/r! |
Ω |
0.32262864780579 |
Real period |
R |
1.1743314786432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6486b2 |
Quadratic twists by: -4 |