Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69312bv |
Isogeny class |
Conductor |
69312 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1734299357184 = 212 · 32 · 196 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3369,-41769] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:144:1] |
Generators of the group modulo torsion |
j |
21952/9 |
j-invariant |
L |
3.3384066941645 |
L(r)(E,1)/r! |
Ω |
0.6495847812778 |
Real period |
R |
2.5696466337048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000339 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69312u2 34656x1 192a2 |
Quadratic twists by: -4 8 -19 |