Atkin-Lehner |
2- 3+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
119616t |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1030175096832 = 215 · 34 · 72 · 892 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2625,18081] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:252:1] |
Generators of the group modulo torsion |
j |
61069889672/31438449 |
j-invariant |
L |
4.3043147486186 |
L(r)(E,1)/r! |
Ω |
0.77204820449537 |
Real period |
R |
1.3937972790881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003756 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119616bb2 59808k2 |
Quadratic twists by: -4 8 |