Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48552a |
Isogeny class |
Conductor |
48552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-128468592 = -1 · 24 · 34 · 73 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -4 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28,-539] |
[a1,a2,a3,a4,a6] |
Generators |
[10:9:1] |
Generators of the group modulo torsion |
j |
-544000/27783 |
j-invariant |
L |
4.2291688774596 |
L(r)(E,1)/r! |
Ω |
0.81266447472549 |
Real period |
R |
1.3010193656151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97104y1 48552t1 |
Quadratic twists by: -4 17 |