Atkin-Lehner |
2- 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
61248bv |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
60021080064 = 216 · 32 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10209,-393471] |
[a1,a2,a3,a4,a6] |
Generators |
[139:924:1] |
Generators of the group modulo torsion |
j |
1795708889572/915849 |
j-invariant |
L |
3.221317137958 |
L(r)(E,1)/r! |
Ω |
0.47496707268528 |
Real period |
R |
3.3910952181472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000115 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61248p2 15312h2 |
Quadratic twists by: -4 8 |