Atkin-Lehner |
2+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13640d |
Isogeny class |
Conductor |
13640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
744198400 = 28 · 52 · 112 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-247,714] |
[a1,a2,a3,a4,a6] |
Generators |
[1378:51150:1] |
Generators of the group modulo torsion |
j |
6509904336/2907025 |
j-invariant |
L |
5.0500309744168 |
L(r)(E,1)/r! |
Ω |
1.4379934382772 |
Real period |
R |
3.5118595398232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27280g2 109120a2 122760bk2 68200u2 |
Quadratic twists by: -4 8 -3 5 |