Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
87362bf |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
49850796335836364 = 22 · 1113 · 192 |
Discriminant |
Eigenvalues |
2- 0 1 -1 11- 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-119692,11804323] |
[a1,a2,a3,a4,a6] |
j |
296518892481/77948684 |
j-invariant |
L |
2.6667525087576 |
L(r)(E,1)/r! |
Ω |
0.33334407677774 |
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 |
7942g1 87362b1 |
Quadratic twists by: -11 -19 |