Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
51744t |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1574335623168 = 212 · 33 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6337,-182447] |
[a1,a2,a3,a4,a6] |
Generators |
[161:1716:1] |
Generators of the group modulo torsion |
j |
58411072/3267 |
j-invariant |
L |
6.2644991937782 |
L(r)(E,1)/r! |
Ω |
0.53695128403071 |
Real period |
R |
2.9166981158599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51744bm2 103488hv1 1056f2 |
Quadratic twists by: -4 8 -7 |