Atkin-Lehner |
2- 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72540d |
Isogeny class |
Conductor |
72540 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-1053506580750000 = -1 · 24 · 33 · 56 · 132 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3132,-1560167] |
[a1,a2,a3,a4,a6] |
Generators |
[134:1125:1] |
Generators of the group modulo torsion |
j |
7865117687808/2438672640625 |
j-invariant |
L |
5.433586648177 |
L(r)(E,1)/r! |
Ω |
0.23086057394868 |
Real period |
R |
1.961352168202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72540k1 |
Quadratic twists by: -3 |