Atkin-Lehner |
2+ 3- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54264g |
Isogeny class |
Conductor |
54264 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
2771371008 = 210 · 32 · 72 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 2 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2448,-47376] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1596:1] |
Generators of the group modulo torsion |
j |
1585022354500/2706417 |
j-invariant |
L |
7.3353864388096 |
L(r)(E,1)/r! |
Ω |
0.67877597121999 |
Real period |
R |
2.7016964174659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999749 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108528b1 |
Quadratic twists by: -4 |