Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
25800a |
Isogeny class |
Conductor |
25800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
4031250000 = 24 · 3 · 59 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-134383,19006012] |
[a1,a2,a3,a4,a6] |
Generators |
[316068:22149875:64] |
Generators of the group modulo torsion |
j |
1073544204384256/16125 |
j-invariant |
L |
4.7694830385612 |
L(r)(E,1)/r! |
Ω |
0.98903014797404 |
Real period |
R |
9.6447677521887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
51600y1 77400ba1 5160n1 |
Quadratic twists by: -4 -3 5 |