Atkin-Lehner |
2- 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
51480bp |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
62448122880 = 210 · 38 · 5 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10443,410582] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:702:1] [19:468:1] |
Generators of the group modulo torsion |
j |
168722134564/83655 |
j-invariant |
L |
9.0066682940303 |
L(r)(E,1)/r! |
Ω |
1.0911739751609 |
Real period |
R |
2.0635271045352 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960w2 17160d2 |
Quadratic twists by: -4 -3 |