Atkin-Lehner |
2+ 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
106848k |
Isogeny class |
Conductor |
106848 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
102767772645715968 = 212 · 312 · 75 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -6 -2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-789564,269599808] |
[a1,a2,a3,a4,a6] |
Generators |
[-956:12276:1] |
Generators of the group modulo torsion |
j |
18230486209060672/34416719127 |
j-invariant |
L |
7.4109355153082 |
L(r)(E,1)/r! |
Ω |
0.33596440090195 |
Real period |
R |
5.5146732013639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106848s2 35616p2 |
Quadratic twists by: -4 -3 |