Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960ei |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-1.5831570613531E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1539948,952624208] |
[a1,a2,a3,a4,a6] |
Generators |
[73820:1973088:125] |
Generators of the group modulo torsion |
j |
-2113364608155289/828431400960 |
j-invariant |
L |
4.8471480358 |
L(r)(E,1)/r! |
Ω |
0.17101295540138 |
Real period |
R |
7.0859368876684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960bl1 12240bz1 16320cf1 |
Quadratic twists by: -4 8 -3 |