Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45472z |
Isogeny class |
Conductor |
45472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
279552 |
Modular degree for the optimal curve |
Δ |
-4031218160119808 = -1 · 212 · 79 · 293 |
Discriminant |
Eigenvalues |
2- 1 -4 7- 2 6 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,28355,2449579] |
[a1,a2,a3,a4,a6] |
Generators |
[2970:64141:8] |
Generators of the group modulo torsion |
j |
15252992/24389 |
j-invariant |
L |
5.59880912425 |
L(r)(E,1)/r! |
Ω |
0.29980979453076 |
Real period |
R |
4.6686342694513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45472k1 90944bv1 45472ba1 |
Quadratic twists by: -4 8 -7 |