Atkin-Lehner |
2+ 3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
106800a |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
102656160000000 = 211 · 34 · 57 · 892 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12008,-133488] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:178:1] |
Generators of the group modulo torsion |
j |
5984418242/3208005 |
j-invariant |
L |
6.8014078489749 |
L(r)(E,1)/r! |
Ω |
0.4851918811936 |
Real period |
R |
1.7522469198726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53400h2 21360d2 |
Quadratic twists by: -4 5 |