Atkin-Lehner |
2- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
45248ba |
Isogeny class |
Conductor |
45248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4864 |
Modular degree for the optimal curve |
Δ |
316736 = 26 · 72 · 101 |
Discriminant |
Eigenvalues |
2- 0 -1 7- -2 5 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38,-86] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1:1] |
Generators of the group modulo torsion |
j |
94818816/4949 |
j-invariant |
L |
4.8899848262912 |
L(r)(E,1)/r! |
Ω |
1.9291279094256 |
Real period |
R |
1.2674081387738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45248s1 22624e1 |
Quadratic twists by: -4 8 |