Atkin-Lehner |
3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
13671d |
Isogeny class |
Conductor |
13671 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
27611871377517 = 39 · 72 · 315 |
Discriminant |
Eigenvalues |
0 3+ 0 7- -5 2 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7560,-9781] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:480:1] |
Generators of the group modulo torsion |
j |
49545216000/28629151 |
j-invariant |
L |
3.2961820048373 |
L(r)(E,1)/r! |
Ω |
0.55958443120435 |
Real period |
R |
0.58904104921989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13671c1 13671b1 |
Quadratic twists by: -3 -7 |