Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296dk |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
764826016518144 = 212 · 34 · 72 · 196 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23224,-299884] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:672:1] |
Generators of the group modulo torsion |
j |
7189057/3969 |
j-invariant |
L |
6.2506417649117 |
L(r)(E,1)/r! |
Ω |
0.41397188715007 |
Real period |
R |
1.8873992390805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999463252 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7581b2 336e2 |
Quadratic twists by: -4 -19 |