Atkin-Lehner |
2- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
52528bc |
Isogeny class |
Conductor |
52528 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-3.7229563999481E+19 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-285784,299299860] |
[a1,a2,a3,a4,a6] |
Generators |
[-796:4802:1] |
Generators of the group modulo torsion |
j |
-5356619222473/77257341952 |
j-invariant |
L |
2.9103722759 |
L(r)(E,1)/r! |
Ω |
0.17386919411324 |
Real period |
R |
2.0923576275284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997928 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6566f1 7504q1 |
Quadratic twists by: -4 -7 |