Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74480s |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
-240442931948800000 = -1 · 211 · 55 · 711 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 3 -1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,146200,-9627500] |
[a1,a2,a3,a4,a6] |
Generators |
[100:2450:1] |
Generators of the group modulo torsion |
j |
1434315418702/997915625 |
j-invariant |
L |
5.1993444979953 |
L(r)(E,1)/r! |
Ω |
0.17669005338638 |
Real period |
R |
1.4713178239055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37240m1 10640c1 |
Quadratic twists by: -4 -7 |