Atkin-Lehner |
3+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
5499c |
Isogeny class |
Conductor |
5499 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
473744349 = 33 · 132 · 473 |
Discriminant |
Eigenvalues |
0 3+ -3 -1 3 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1764,28497] |
[a1,a2,a3,a4,a6] |
Generators |
[17:58:1] |
Generators of the group modulo torsion |
j |
22483074023424/17546087 |
j-invariant |
L |
2.3979576679515 |
L(r)(E,1)/r! |
Ω |
1.6488801304781 |
Real period |
R |
1.0907210401293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
87984s1 5499a2 71487a1 |
Quadratic twists by: -4 -3 13 |