Atkin-Lehner |
2+ 3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51546c |
Isogeny class |
Conductor |
51546 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18828080267564304 = 24 · 32 · 1110 · 712 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-71272,3164390] |
[a1,a2,a3,a4,a6] |
Generators |
[388:5633:1] |
Generators of the group modulo torsion |
j |
22600376782417/10627960464 |
j-invariant |
L |
3.8760719830452 |
L(r)(E,1)/r! |
Ω |
0.34530322083003 |
Real period |
R |
5.6125627409265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998453 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4686c2 |
Quadratic twists by: -11 |