Atkin-Lehner |
2- 3- 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56550ce |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
32929417745328000 = 27 · 3 · 53 · 138 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 6 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-96518,7540452] |
[a1,a2,a3,a4,a6] |
Generators |
[9084:93478:27] |
Generators of the group modulo torsion |
j |
795497689530094517/263435341962624 |
j-invariant |
L |
13.044973494246 |
L(r)(E,1)/r! |
Ω |
0.3401969987344 |
Real period |
R |
0.68473841956461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56550l2 |
Quadratic twists by: 5 |