Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960eb |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
4.267824106824E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15858768,24306138808] |
[a1,a2,a3,a4,a6] |
Generators |
[4333701066:3753294148:1860867] |
Generators of the group modulo torsion |
j |
590887175978458660864/57171426328125 |
j-invariant |
L |
5.9125857106561 |
L(r)(E,1)/r! |
Ω |
0.19447085201109 |
Real period |
R |
15.201727275597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960bf1 12240bv1 16320cy1 |
Quadratic twists by: -4 8 -3 |