Atkin-Lehner |
2- 3- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8778q |
Isogeny class |
Conductor |
8778 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
496302169876660224 = 216 · 34 · 72 · 114 · 194 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-292194,-50491836] |
[a1,a2,a3,a4,a6] |
j |
2758910971633951339297/496302169876660224 |
j-invariant |
L |
3.3261235383181 |
L(r)(E,1)/r! |
Ω |
0.20788272114488 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
70224ca2 26334r2 61446bq2 96558bh2 |
Quadratic twists by: -4 -3 -7 -11 |