Atkin-Lehner |
2- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
53290z |
Isogeny class |
Conductor |
53290 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-4263200 = -1 · 25 · 52 · 732 |
Discriminant |
Eigenvalues |
2- -1 5- -2 -5 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,35,-45] |
[a1,a2,a3,a4,a6] |
Generators |
[3:8:1] |
Generators of the group modulo torsion |
j |
888191/800 |
j-invariant |
L |
5.7217408363306 |
L(r)(E,1)/r! |
Ω |
1.350672857418 |
Real period |
R |
0.42362151611178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53290v1 |
Quadratic twists by: 73 |