Atkin-Lehner |
3+ 7+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
14469d |
Isogeny class |
Conductor |
14469 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
407125148157 = 34 · 72 · 13 · 534 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 0 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3924,-91128] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:41:1] |
Generators of the group modulo torsion |
j |
6682171619462977/407125148157 |
j-invariant |
L |
1.558551914657 |
L(r)(E,1)/r! |
Ω |
0.60550730828663 |
Real period |
R |
0.64349013353249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43407h3 101283u3 |
Quadratic twists by: -3 -7 |