Atkin-Lehner |
3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111573bc |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
-345857629262607 = -1 · 38 · 77 · 112 · 232 |
Discriminant |
Eigenvalues |
1 3- 0 7- 11+ 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36612,2850147] |
[a1,a2,a3,a4,a6] |
j |
-63282696625/4032567 |
j-invariant |
L |
2.1249137443119 |
L(r)(E,1)/r! |
Ω |
0.53122843575515 |
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 |
37191g1 15939g1 |
Quadratic twists by: -3 -7 |