Atkin-Lehner |
2- 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116242u |
Isogeny class |
Conductor |
116242 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
2014786899706 = 2 · 72 · 197 · 23 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 3 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22931,1332887] |
[a1,a2,a3,a4,a6] |
j |
28344726649/42826 |
j-invariant |
L |
3.3103393329359 |
L(r)(E,1)/r! |
Ω |
0.82758483281906 |
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 |
6118e1 |
Quadratic twists by: -19 |