Atkin-Lehner |
2- 7- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
124558z |
Isogeny class |
Conductor |
124558 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
4186892612 = 22 · 77 · 31 · 41 |
Discriminant |
Eigenvalues |
2- 2 -4 7- -4 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9115,331141] |
[a1,a2,a3,a4,a6] |
j |
711882749089/35588 |
j-invariant |
L |
2.6146566938068 |
L(r)(E,1)/r! |
Ω |
1.307328978592 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17794k1 |
Quadratic twists by: -7 |