Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48552b |
Isogeny class |
Conductor |
48552 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
254592 |
Modular degree for the optimal curve |
Δ |
-3745287881201664 = -1 · 211 · 317 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 1 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61976,6649164] |
[a1,a2,a3,a4,a6] |
Generators |
[433:7798:1] |
Generators of the group modulo torsion |
j |
-44480898716402/6327867987 |
j-invariant |
L |
4.4234125682007 |
L(r)(E,1)/r! |
Ω |
0.42788573452263 |
Real period |
R |
5.1689180210057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97104ba1 48552u1 |
Quadratic twists by: -4 17 |