Atkin-Lehner |
2- 3+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648m |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-90353664 = -1 · 212 · 33 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 0 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-288,-1936] |
[a1,a2,a3,a4,a6] |
j |
-23887872/817 |
j-invariant |
L |
1.156588814146 |
L(r)(E,1)/r! |
Ω |
0.57829430640986 |
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 |
7353f1 117648l1 |
Quadratic twists by: -4 -3 |