Atkin-Lehner |
7+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
119357c |
Isogeny class |
Conductor |
119357 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
861696 |
Modular degree for the optimal curve |
Δ |
832605480885437 = 7 · 1710 · 59 |
Discriminant |
Eigenvalues |
0 0 0 7+ 4 -3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1670420,830971309] |
[a1,a2,a3,a4,a6] |
j |
255688704000/413 |
j-invariant |
L |
0.42786384925044 |
L(r)(E,1)/r! |
Ω |
0.42786313476567 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119357g1 |
Quadratic twists by: 17 |